Greatest Common Factor of 1372/870, 6980/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1372/870, 6980/444

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 1372/870,6980/444

Given fractions are 1372/870,6980/444

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 1372,6980

Greatest Common Factor of Numerators i.e. GCF of 1372,6980 is 4 .

LCM of Denominators means LCM of 870,444 as per the given fractions.

LCM of 870,444 is 64380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1372,6980

GCF of Fractions 1372/870,6980/444 is 4/64380

2 1372, 6980
2 686, 3490
343, 1745

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1372,6980 By Matching Biggest Common Factor Method

Greatest Common Factor of 1372,6980 By Matching Biggest Common Factor Method

Factors of 1372

List of positive integer factors of 1372 that divides 1372 without a remainder.

1,2,4,7,14,28,49,98,196,343,686,1372

Factors of 6980

List of positive integer factors of 6980 that divides 6980 without a remainder.

1,2,4,5,10,20,349,698,1396,1745,3490,6980

Greatest Common Factor

We found the factors 1372,6980 . The biggest common factor number is the GCF number.
So the greatest common factor 1372,6980 is 4.

Lets's calculate LCM of 870,444

2 870, 444
3 435, 222
145, 74

∴ So the LCM of the given numbers is 2 x 3 x 145 x 74 = 64380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/64380

Therefore, the GCF of Fractions 1372/870,6980/444 is 4/64380

Least Common Multiple of 870,444 with GCF Formula

Least Common Multiple of 870,444 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 870,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,444) = 6

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

GCF(870,444) x common factors =6 x 1 = 6

LCM(870,444) = ( 870 × 444 ) / 6

LCM(870,444) = 386280 / 6

LCM(870,444) = 64380


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 1372/870, 6980/444

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 1372/870, 6980/444?

Answer: GCF of Numerators as per given numbers 1372/870, 6980/444 is

GCF of Numerators i.e. for 1372,6980 is 4

LCM of denominators i.e. for 870,444 is 64380.

Thus, GCF of Fractions is 4/64380.Finally, GCF of Fractions for 1372/870, 6980/444 is 4/64380.