Greatest Common Factor of 7948/939, 8856/7752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7948/939, 8856/7752

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 7948/939,8856/7752

Given fractions are 7948/939,8856/7752

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 7948,8856

Greatest Common Factor of Numerators i.e. GCF of 7948,8856 is 4 .

LCM of Denominators means LCM of 939,7752 as per the given fractions.

LCM of 939,7752 is 2426376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7948,8856

GCF of Fractions 7948/939,8856/7752 is 4/2426376

2 7948, 8856
2 3974, 4428
1987, 2214

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7948,8856 By Matching Biggest Common Factor Method

Greatest Common Factor of 7948,8856 By Matching Biggest Common Factor Method

Factors of 7948

List of positive integer factors of 7948 that divides 7948 without a remainder.

1,2,4,1987,3974,7948

Factors of 8856

List of positive integer factors of 8856 that divides 8856 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856

Greatest Common Factor

We found the factors 7948,8856 . The biggest common factor number is the GCF number.
So the greatest common factor 7948,8856 is 4.

Lets's calculate LCM of 939,7752

3 939, 7752
313, 2584

∴ So the LCM of the given numbers is 3 x 313 x 2584 = 2426376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2426376

Therefore, the GCF of Fractions 7948/939,8856/7752 is 4/2426376

Least Common Multiple of 939,7752 with GCF Formula

Least Common Multiple of 939,7752 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 939,7752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,7752) = 3

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

GCF(939,7752) x common factors =3 x 1 = 3

LCM(939,7752) = ( 939 × 7752 ) / 3

LCM(939,7752) = 7279128 / 3

LCM(939,7752) = 2426376


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 7948/939, 8856/7752

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 7948/939, 8856/7752?

Answer: GCF of Numerators as per given numbers 7948/939, 8856/7752 is

GCF of Numerators i.e. for 7948,8856 is 4

LCM of denominators i.e. for 939,7752 is 2426376.

Thus, GCF of Fractions is 4/2426376.Finally, GCF of Fractions for 7948/939, 8856/7752 is 4/2426376.