Greatest Common Factor of 2790/864, 6823/4977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2790/864, 6823/4977

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 2790/864,6823/4977

Given fractions are 2790/864,6823/4977

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 2790,6823

Greatest Common Factor of Numerators i.e. GCF of 2790,6823 is 1 .

LCM of Denominators means LCM of 864,4977 as per the given fractions.

LCM of 864,4977 is 477792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2790,6823

GCF of Fractions 2790/864,6823/4977 is 1/477792

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2790,6823 By Matching Biggest Common Factor Method

Greatest Common Factor of 2790,6823 By Matching Biggest Common Factor Method

Factors of 2790

List of positive integer factors of 2790 that divides 2790 without a remainder.

1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790

Factors of 6823

List of positive integer factors of 6823 that divides 6823 without a remainder.

1,6823

Greatest Common Factor

We found the factors 2790,6823 . The biggest common factor number is the GCF number.
So the greatest common factor 2790,6823 is 1.

Lets's calculate LCM of 864,4977

3 864, 4977
3 288, 1659
96, 553

∴ So the LCM of the given numbers is 3 x 3 x 96 x 553 = 477792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477792

Therefore, the GCF of Fractions 2790/864,6823/4977 is 1/477792

Least Common Multiple of 864,4977 with GCF Formula

Least Common Multiple of 864,4977 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 864,4977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,4977) = 9

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

GCF(864,4977) x common factors =9 x 1 = 9

LCM(864,4977) = ( 864 × 4977 ) / 9

LCM(864,4977) = 4300128 / 9

LCM(864,4977) = 477792


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 2790/864, 6823/4977

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 2790/864, 6823/4977?

Answer: GCF of Numerators as per given numbers 2790/864, 6823/4977 is

GCF of Numerators i.e. for 2790,6823 is 1

LCM of denominators i.e. for 864,4977 is 477792.

Thus, GCF of Fractions is 1/477792.Finally, GCF of Fractions for 2790/864, 6823/4977 is 1/477792.