Question

Find the greatest number which is more than 7 to divide 180,230 and 276 without ecluids division method

Answer 1

Answer:

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First we find the HCF of 230 and 184

a= 230 and b= 184

a=bq+r= 230= 184×1+46

Since, r is not zero, so we applied division lemma to find HCF of 184 and 46

184= 46×4+0

Since, r= 0

So, the HCF of 230 and 184 is 46

Now we find HCF of 276 and 46

a= 276; b= 46, we apply the division lemma

a=bq+r= 276= 46×6+0

Since, r= 0, so the HCF of 276 and 46 is 46

and HCF of 230 and 184 is 46

So the HCF of 180,230 and 276 is 46.

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Answer 2

Answer:

first we find the HCF of 230&184

a=230&b=184,we apply the division leama

a=bq+r= 230=184*1+46

since r is not zero ,so we apply division leama to find HCF of 184&46

184=46*4+0

since the r=0

so, the HCF of 230&184 is 46

Now we find the HCF of 276&46

a=276,b=46,we apply the division leama

a=bq+r=276=46*6+0

since r=0,so,the HCF of 276&46is 46

and46 is also HCF of 230&184 is 46

so,the HCF of 230,184&276 is 46.

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