find the largest number that divides 2053 & 967& leaves a remainder of 5&7 respectively
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Given the largest number that divides 2053 and 967 leaves remainder 5,7.
2053 - 5 = 2048
967 - 7 = 960
LCM of 2048 = 2^3 * 2^3 * 2^3 * 2
LCM of 960 = 2^3 * 2^3 * 3 * 5
LCM of 2048 * 960 = 2^3 * 2^3 = 64.
The largest number = 64.
Hope this helps!
2053 - 5 = 2048
967 - 7 = 960
LCM of 2048 = 2^3 * 2^3 * 2^3 * 2
LCM of 960 = 2^3 * 2^3 * 3 * 5
LCM of 2048 * 960 = 2^3 * 2^3 = 64.
The largest number = 64.
Hope this helps!
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