Greatest Common Factor of 279/824, 9138/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 279/824, 9138/680

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 279/824,9138/680

Given fractions are 279/824,9138/680

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 279,9138

Greatest Common Factor of Numerators i.e. GCF of 279,9138 is 3 .

LCM of Denominators means LCM of 824,680 as per the given fractions.

LCM of 824,680 is 70040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 279,9138

GCF of Fractions 279/824,9138/680 is 3/70040

3 279, 9138
93, 3046

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

Greatest Common Factor of 279,9138 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,9138 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

Greatest Common Factor

We found the factors 279,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 279,9138 is 3.

Lets's calculate LCM of 824,680

2 824, 680
2 412, 340
2 206, 170
103, 85

∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 85 = 70040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/70040

Therefore, the GCF of Fractions 279/824,9138/680 is 3/70040

Least Common Multiple of 824,680 with GCF Formula

Least Common Multiple of 824,680 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 824,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,680) = 8

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

GCF(824,680) x common factors =8 x 1 = 8

LCM(824,680) = ( 824 × 680 ) / 8

LCM(824,680) = 560320 / 8

LCM(824,680) = 70040


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 279/824, 9138/680

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 279/824, 9138/680?

Answer: GCF of Numerators as per given numbers 279/824, 9138/680 is

GCF of Numerators i.e. for 279,9138 is 3

LCM of denominators i.e. for 824,680 is 70040.

Thus, GCF of Fractions is 3/70040.Finally, GCF of Fractions for 279/824, 9138/680 is 3/70040.