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CBSE Class 10 Answered

If the HCF of 408 and 1032 is expressible in the form of 1032m – 408n, find the value of m and n.
Asked by mananbaldania | 04 Jun, 2019, 02:55: PM
Expert Answer
1032 equals 408 cross times 2 plus 216
408 equals 216 cross times 1 plus 192
216 equals 192 cross times 1 plus 24
192 equals 24 cross times 8 plus 0
T h e space r e m a i n d e r space n o w space b e c o m e s space 0
S o comma space H C F space o f space 408 space a n d space 1032 space i s space 24.
T h e r e f o r e comma space 24 equals 1032 m minus 408 cross times 5
1032 m equals 24 plus 408 cross times 5
1032 m equals 24 plus 2040
1032 m equals 2064
rightwards double arrow m equals 2 space a n d space n equals 5
Answered by Renu Varma | 04 Jun, 2019, 03:43: PM
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