Question

greatest number which divides 926 and 2313 lease 2 and 3 remainders respectively is

Answer 1

According to question,
A number divides 926 and 2313 leaving remainders 2 and 3 respectively.
This means that the number perfectly divides 926 - 2 = 924 as well as 2313 - 3 = 2310.
Now we simply need to find the largest no. that divides 924 and 2310 ,,, or we need to find their HCF.
On calculating the HCF ,,, we get it as => 462
Hence, the answer is 462

Hope that helps !!!