Greatest Common Factor of 7938/779, 9669/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7938/779, 9669/767

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 7938/779,9669/767

Given fractions are 7938/779,9669/767

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 7938,9669

Greatest Common Factor of Numerators i.e. GCF of 7938,9669 is 3 .

LCM of Denominators means LCM of 779,767 as per the given fractions.

LCM of 779,767 is 597493 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7938,9669

GCF of Fractions 7938/779,9669/767 is 3/597493

3 7938, 9669
2646, 3223

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7938,9669 By Matching Biggest Common Factor Method

Greatest Common Factor of 7938,9669 By Matching Biggest Common Factor Method

Factors of 7938

List of positive integer factors of 7938 that divides 7938 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,49,54,63,81,98,126,147,162,189,294,378,441,567,882,1134,1323,2646,3969,7938

Factors of 9669

List of positive integer factors of 9669 that divides 9669 without a remainder.

1,3,11,33,293,879,3223,9669

Greatest Common Factor

We found the factors 7938,9669 . The biggest common factor number is the GCF number.
So the greatest common factor 7938,9669 is 3.

Lets's calculate LCM of 779,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 597493

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/597493

Therefore, the GCF of Fractions 7938/779,9669/767 is 3/597493

Least Common Multiple of 779,767 with GCF Formula

Least Common Multiple of 779,767 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 779,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,767) = 1

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

GCF(779,767) x common factors =1 x 1 = 1

LCM(779,767) = ( 779 × 767 ) / 1

LCM(779,767) = 597493 / 1

LCM(779,767) = 597493


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 7938/779, 9669/767

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 7938/779, 9669/767?

Answer: GCF of Numerators as per given numbers 7938/779, 9669/767 is

GCF of Numerators i.e. for 7938,9669 is 3

LCM of denominators i.e. for 779,767 is 597493.

Thus, GCF of Fractions is 3/597493.Finally, GCF of Fractions for 7938/779, 9669/767 is 3/597493.