Greatest Common Factor of 732/661, 7770/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 732/661, 7770/279

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 732/661,7770/279

Given fractions are 732/661,7770/279

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 732,7770

Greatest Common Factor of Numerators i.e. GCF of 732,7770 is 6 .

LCM of Denominators means LCM of 661,279 as per the given fractions.

LCM of 661,279 is 184419 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 732,7770

GCF of Fractions 732/661,7770/279 is 6/184419

2 732, 7770
3 366, 3885
122, 1295

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 732,7770 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,7770 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 7770

List of positive integer factors of 7770 that divides 7770 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770

Greatest Common Factor

We found the factors 732,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 732,7770 is 6.

Lets's calculate LCM of 661,279

Given numbers has no common factors except 1. So, there LCM is their product i.e 184419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/184419

Therefore, the GCF of Fractions 732/661,7770/279 is 6/184419

Least Common Multiple of 661,279 with GCF Formula

Least Common Multiple of 661,279 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 661,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,279) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(661,279) x common factors =1 x 1 = 1

LCM(661,279) = ( 661 × 279 ) / 1

LCM(661,279) = 184419 / 1

LCM(661,279) = 184419


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 732/661, 7770/279

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 732/661, 7770/279?

Answer: GCF of Numerators as per given numbers 732/661, 7770/279 is

GCF of Numerators i.e. for 732,7770 is 6

LCM of denominators i.e. for 661,279 is 184419.

Thus, GCF of Fractions is 6/184419.Finally, GCF of Fractions for 732/661, 7770/279 is 6/184419.