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Q) Find the greatest number which divides 85 and 72 leaving remainders 1 and 2 respectively.
Ans: Question is asking for highest number which is dividing other numbers…. . clearly, we need to find HCF
Since there are remainders after dividing, hence if we subtract remainder from the given number, we will get the actual number which is fully divisible by the HCF
So, we will find HCF of 85 – 1 = 84 and 72 – 2 = 70
Since HCF of 84 and 70 is 14, hence, this is the answer