Question

find the largest number which when divides 148 and 274

Answer 1

126 is the no.
Divide it ur answer will come.

Answer 2

METHOD 1
If we use Euclids division algorithm;
a=bq+r [where a and b are integers and q and r are positive integeres. Also, 0=Then, since 274>148, we will take a as 274
274=148*1+126
148=126*1+22
126=22*5+16
22=16*1+6
16=6*2+4
6=4*1+2
4=2*2+0
So, HCF of 274 and 148 is 2 b=2 in the last equation when r=0.

METHOD 2
2_274
1_137
So, 274=137*2

2_148
2_74
1_37
So, 148=2*2*37

Hence, the only common factors in both numbers are 2.
So, Highest Common Factor(HCF) of 274 and 148 is 2.

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