Greatest Common Factor of 4894/870, 7795/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4894/870, 7795/812

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 4894/870,7795/812

Given fractions are 4894/870,7795/812

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 4894,7795

Greatest Common Factor of Numerators i.e. GCF of 4894,7795 is 1 .

LCM of Denominators means LCM of 870,812 as per the given fractions.

LCM of 870,812 is 12180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4894,7795

GCF of Fractions 4894/870,7795/812 is 1/12180

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

Greatest Common Factor of 4894,7795 By Matching Biggest Common Factor Method

Greatest Common Factor of 4894,7795 By Matching Biggest Common Factor Method

Factors of 4894

List of positive integer factors of 4894 that divides 4894 without a remainder.

1,2,2447,4894

Factors of 7795

List of positive integer factors of 7795 that divides 7795 without a remainder.

1,5,1559,7795

Greatest Common Factor

We found the factors 4894,7795 . The biggest common factor number is the GCF number.
So the greatest common factor 4894,7795 is 1.

Lets's calculate LCM of 870,812

2 870, 812
29 435, 406
15, 14

∴ So the LCM of the given numbers is 2 x 29 x 15 x 14 = 12180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12180

Therefore, the GCF of Fractions 4894/870,7795/812 is 1/12180

Least Common Multiple of 870,812 with GCF Formula

Least Common Multiple of 870,812 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 870,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,812) = 58

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

GCF(870,812) x common factors =58 x 1 = 58

LCM(870,812) = ( 870 × 812 ) / 58

LCM(870,812) = 706440 / 58

LCM(870,812) = 12180


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 4894/870, 7795/812

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 4894/870, 7795/812?

Answer: GCF of Numerators as per given numbers 4894/870, 7795/812 is

GCF of Numerators i.e. for 4894,7795 is 1

LCM of denominators i.e. for 870,812 is 12180.

Thus, GCF of Fractions is 1/12180.Finally, GCF of Fractions for 4894/870, 7795/812 is 1/12180.