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CBSE Class 10 Answered

find largest number which divides 2053 and 967 and leaves  remainder  5 and 7 respectively
Asked by arajeevshashank | 12 Mar, 2020, 08:41: AM
answered-by-expert Expert Answer
 
2053 - 5 = 2048 and 967 - 7 = 960
 
Prime factorisation of 2048 and 960 are as follows,
 
2048 = 211 and 960 = 2× 3 × 5
 
HCF(2048, 960) = 26 =64
 
Therefore, the largest number which divides 2053 and 967 and leaves  remainder  5 and 7 respectively is 64.
Answered by Yasmeen Khan | 12 Mar, 2020, 11:03: AM
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