Greatest Common Factor of 6699/77, 9751/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6699/77, 9751/640

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 6699/77,9751/640

Given fractions are 6699/77,9751/640

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 6699,9751

Greatest Common Factor of Numerators i.e. GCF of 6699,9751 is 7 .

LCM of Denominators means LCM of 77,640 as per the given fractions.

LCM of 77,640 is 49280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6699,9751

GCF of Fractions 6699/77,9751/640 is 7/49280

7 6699, 9751
957, 1393

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6699,9751 By Matching Biggest Common Factor Method

Greatest Common Factor of 6699,9751 By Matching Biggest Common Factor Method

Factors of 6699

List of positive integer factors of 6699 that divides 6699 without a remainder.

1,3,7,11,21,29,33,77,87,203,231,319,609,957,2233,6699

Factors of 9751

List of positive integer factors of 9751 that divides 9751 without a remainder.

1,7,49,199,1393,9751

Greatest Common Factor

We found the factors 6699,9751 . The biggest common factor number is the GCF number.
So the greatest common factor 6699,9751 is 7.

Lets's calculate LCM of 77,640

Given numbers has no common factors except 1. So, there LCM is their product i.e 49280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/49280

Therefore, the GCF of Fractions 6699/77,9751/640 is 7/49280

Least Common Multiple of 77,640 with GCF Formula

Least Common Multiple of 77,640 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 77,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,640) = 1

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

GCF(77,640) x common factors =1 x 1 = 1

LCM(77,640) = ( 77 × 640 ) / 1

LCM(77,640) = 49280 / 1

LCM(77,640) = 49280


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 6699/77, 9751/640

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 6699/77, 9751/640?

Answer: GCF of Numerators as per given numbers 6699/77, 9751/640 is

GCF of Numerators i.e. for 6699,9751 is 7

LCM of denominators i.e. for 77,640 is 49280.

Thus, GCF of Fractions is 7/49280.Finally, GCF of Fractions for 6699/77, 9751/640 is 7/49280.