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CBSE Class 10 Answered

HOW TO FIND H.C.F OF THREE NUMBERS.

 

Asked by Narasimman M | 19 Apr, 2014, 08:44: AM
answered-by-expert Expert Answer
Consider three numbers 24, 36 and 60.
 
Our aim is to find the HCF of 24, 36 and 60.
 
First let us write the prime factorization of all the numbers.
 
24 equals 2 cross times 2 cross times 2 cross times 3 equals 2 cubed cross times 3 36 equals 2 cross times 2 cross times 3 cross times 3 equals 2 squared cross times 3 squared 60 equals 2 cross times 2 cross times 3 cross times 5 equals 2 squared cross times 3 to the power of 1 cross times 5 to the power of 1 T h u s comma space h i g h e s t space c o m m o n space f a c t o r space i s space t h e space p r o d u c t space o f space t h e space f a c t o r s space t h a t space a r e space c o m m o n space t o space a l l space t h e space n u m b e r s. S o comma space H C F space o f space 24 comma space 36 space a n d space 60 space equals 2 squared cross times 3 to the power of 1 equals 12
Answered by | 19 Apr, 2014, 10:14: AM

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