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19. Find the largest number that divides 2053 and 967 and leaves a remainder of 5 and 7respectively

Answer»

It is given that on dividing 2053 by the required number there is a remainder of 5 .this mean that 2053 - 5 = 2048 is exactly divisible by required number . similarly,967- 7 = 960the required number is the largest number satisfying the above property .therefore ,it isthe HCF of 2048 & 960HCF of 2048 & 960 is 64hence required number is 64



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