Greatest Common Factor of 22/870, 551/486, 974/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/870, 551/486, 974/819

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 22/870,551/486,974/819

Given fractions are 22/870,551/486,974/819

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 22,551,974

Greatest Common Factor of Numerators i.e. GCF of 22,551,974 is 1 .

LCM of Denominators means LCM of 870,486,819 as per the given fractions.

LCM of 870,486,819 is 6412770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,551,974

GCF of Fractions 22/870,551/486,974/819 is 1/6412770

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

Greatest Common Factor of 22,551,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,551,974 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 22,551,974 . The biggest common factor number is the GCF number.
So the greatest common factor 22,551,974 is 1.

Lets's calculate LCM of 870,486,819

2 870, 486, 819
3 435, 243, 819
3 145, 81, 273
145, 27, 91

∴ So the LCM of the given numbers is 2 x 3 x 3 x 145 x 27 x 91 = 6412770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6412770

Therefore, the GCF of Fractions 22/870,551/486,974/819 is 1/6412770

Least Common Multiple of 870,486,819 with GCF Formula

Least Common Multiple of 870,486,819 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 870,486,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,486,819) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(870,486,819) x common factors =3 x 18 = 54

LCM(870,486,819) = ( 870 × 486 × 819 ) / 54

LCM(870,486,819) = 346289580 / 54

LCM(870,486,819) = 6412770


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 22/870, 551/486, 974/819

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 22/870, 551/486, 974/819?

Answer: GCF of Numerators as per given numbers 22/870, 551/486, 974/819 is

GCF of Numerators i.e. for 22,551,974 is 1

LCM of denominators i.e. for 870,486,819 is 6412770.

Thus, GCF of Fractions is 1/6412770.Finally, GCF of Fractions for 22/870, 551/486, 974/819 is 1/6412770.