Greatest Common Factor of 870/970, 978/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 870/970, 978/686

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 870/970,978/686

Given fractions are 870/970,978/686

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 870,978

Greatest Common Factor of Numerators i.e. GCF of 870,978 is 6 .

LCM of Denominators means LCM of 970,686 as per the given fractions.

LCM of 970,686 is 332710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 870,978

GCF of Fractions 870/970,978/686 is 6/332710

2 870, 978
3 435, 489
145, 163

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 870,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,978 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 870,978 . The biggest common factor number is the GCF number.
So the greatest common factor 870,978 is 6.

Lets's calculate LCM of 970,686

2 970, 686
485, 343

∴ So the LCM of the given numbers is 2 x 485 x 343 = 332710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/332710

Therefore, the GCF of Fractions 870/970,978/686 is 6/332710

Least Common Multiple of 970,686 with GCF Formula

Least Common Multiple of 970,686 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 970,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,686) = 2

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

GCF(970,686) x common factors =2 x 1 = 2

LCM(970,686) = ( 970 × 686 ) / 2

LCM(970,686) = 665420 / 2

LCM(970,686) = 332710


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 870/970, 978/686

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 870/970, 978/686?

Answer: GCF of Numerators as per given numbers 870/970, 978/686 is

GCF of Numerators i.e. for 870,978 is 6

LCM of denominators i.e. for 970,686 is 332710.

Thus, GCF of Fractions is 6/332710.Finally, GCF of Fractions for 870/970, 978/686 is 6/332710.