Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

use euclid's algorithm to find hcf of 1190 and 1445. express the hcf in the form 1190m+1445n  
Asked by arvindgarg.obc | 28 Feb, 2018, 10:42: AM
answered-by-expert Expert Answer

1445=1190 x 1 + 255

1190=255 x 4 +170

255=170 x 1 + 85

170=85 x 2 + 0

HCF = 85 

Now,                                     

 85 = 255 - 170

      =(1445-1190)-(1190-255 x 4)

      =1445-1190-1190+255 x 4

      =1445-1190 x 2+(1445-1190) x 4

      =1445-1190 x 2+1445 x 4-1190 x 4

      =1445 x 5 - 1190 x 6

      =1190 x (-6) + 1445 x 5

      =1190m + 1445n, where m= -6 and n = 5

                                                                                                                         (-By Prabal) 

 

Answered by Sneha shidid | 28 Feb, 2018, 11:36: AM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 10 - Maths
what largest posetive number which is divisible by 339,456,557leaves remaider 7,11,15 respectively
Asked by pradeeptamalla02 | 16 Mar, 2025, 14:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
root 3 + root 2 is irrational prove
Asked by varshan25ap | 14 Mar, 2025, 21:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
what is Euclid's division lemma
Asked by topperlearningforcontent | 10 Mar, 2025, 22:53: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the HCF of 657 and 963 is expressible in the form 657 x+963×−15, find x.  
Asked by santhoshininagarajanv | 09 Mar, 2025, 12:08: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
16square
Asked by byathish55 | 07 Mar, 2025, 20:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14cm and the total height of the vessel is 13cm. Find the inner surface area of vessel.
Asked by lokeshrolex999 | 06 Mar, 2025, 11:11: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
prove that cot A - Cos A /cot A + Cos A = (Sec A - Tan A) ^2  
Asked by PRASEEDH PLAKKAT | 03 Mar, 2025, 13:59: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
if a and b are two prime numbers write their HCF and LCM
Asked by mamthapankaj143 | 02 Mar, 2025, 17:39: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
the sum of two numbers 15,if the sum of their reciprocal is 3/10.Find the integers.
Asked by dilthiyass | 27 Feb, 2025, 20:04: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 10 - Maths
a toys made in the shape of cylinder with one and stuck to one and and the cone to another and has shown in the figure the length of the cylindrical part of the toy is 20 cm and its diameter is 10 cm is the slant height of the cone is 13 cm then find the surface area of the toy
Asked by h335377 | 17 Feb, 2025, 07:24: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt