Greatest Common Factor of 948/6838, 288/7958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 948/6838, 288/7958

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 948/6838,288/7958

Given fractions are 948/6838,288/7958

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 948,288

Greatest Common Factor of Numerators i.e. GCF of 948,288 is 12 .

LCM of Denominators means LCM of 6838,7958 as per the given fractions.

LCM of 6838,7958 is 27208402 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 948,288

GCF of Fractions 948/6838,288/7958 is 12/27208402

2 948, 288
2 474, 144
3 237, 72
79, 24

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 948,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,288 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 948,288 . The biggest common factor number is the GCF number.
So the greatest common factor 948,288 is 12.

Lets's calculate LCM of 6838,7958

2 6838, 7958
3419, 3979

∴ So the LCM of the given numbers is 2 x 3419 x 3979 = 27208402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/27208402

Therefore, the GCF of Fractions 948/6838,288/7958 is 12/27208402

Least Common Multiple of 6838,7958 with GCF Formula

Least Common Multiple of 6838,7958 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 6838,7958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6838,7958) = 2

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

GCF(6838,7958) x common factors =2 x 1 = 2

LCM(6838,7958) = ( 6838 × 7958 ) / 2

LCM(6838,7958) = 54416804 / 2

LCM(6838,7958) = 27208402


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 948/6838, 288/7958

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 948/6838, 288/7958?

Answer: GCF of Numerators as per given numbers 948/6838, 288/7958 is

GCF of Numerators i.e. for 948,288 is 12

LCM of denominators i.e. for 6838,7958 is 27208402.

Thus, GCF of Fractions is 12/27208402.Finally, GCF of Fractions for 948/6838, 288/7958 is 12/27208402.