calculate the greatest number that will divide both 11296 and 13528 and leave the remainder 11 and 23 respectively
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First of all we have to subtract the respective remainders from the dividend.
So, we will get 11285 and 13505.
Now we have to calculate the HCF of these two numbers:
11285 = 5 x 37 x 61
13505 = 5 x 37 x 73
LCM = 5 x 37 x 61 = 185.
You can verify it as well: 185 x 61 + 11 = 11296 and 185 x 73 + 23 = 13528.
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