Which is the greatest number that divides 732 and 1174 leaving 3 and 4

1.	Which is the greatest number that divides 732 and 1174 leaving 3 and 4respectively as remainders?PLEASE GIVE ANSWER HERE
Answer» The NUMBER will DIVIDE 729 without remainder. Also, it will divide 1170 without remainder. The number is a factor of 729 and 1170 By PRIME factorization 729=9³=3⁶, 1170=10·117=(2·5)·(9·13)=2·3²·5·13 The HCF will be 3²(or 9). VERIFICATION - DIVISIBLITY TEST OF 9 7+3+2=12=9+3 / Remainder of 3 1+1+7+4=9+4 / Remainder of 4 Therefore 9 is the greatest number.

Which is the greatest number that divides 732 and 1174 leaving 3 and 4respectively as remainders?PLEASE GIVE ANSWER HERE

Answer»

The NUMBER will DIVIDE 729 without remainder.

Also, it will divide 1170 without remainder.

The number is a factor of 729 and 1170

By PRIME factorization

729=9³=3⁶, 1170=10·117=(2·5)·(9·13)=2·3²·5·13

The HCF will be 3²(or 9).

VERIFICATION - DIVISIBLITY TEST OF 9

7+3+2=12=9+3 / Remainder of 3

1+1+7+4=9+4 / Remainder of 4

Therefore 9 is the greatest number.

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Which is the greatest number that divides 732 and 1174 leaving 3 and 4respectively as remainders?PLEASE GIVE ANSWER HERE ​

Therefore 9 is the greatest number.

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Which is the greatest number that divides 732 and 1174 leaving 3 and 4respectively as remainders?PLEASE GIVE ANSWER HERE