Greatest Common Factor of 86/897, 91/195, 130/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/897, 91/195, 130/870

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 86/897,91/195,130/870

Given fractions are 86/897,91/195,130/870

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 86,91,130

Greatest Common Factor of Numerators i.e. GCF of 86,91,130 is 1 .

LCM of Denominators means LCM of 897,195,870 as per the given fractions.

LCM of 897,195,870 is 260130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,91,130

GCF of Fractions 86/897,91/195,130/870 is 1/260130

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

Greatest Common Factor of 86,91,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,91,130 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 86,91,130 . The biggest common factor number is the GCF number.
So the greatest common factor 86,91,130 is 1.

Lets's calculate LCM of 897,195,870

3 897, 195, 870
5 299, 65, 290
13 299, 13, 58
23, 1, 58

∴ So the LCM of the given numbers is 3 x 5 x 13 x 23 x 1 x 58 = 260130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260130

Therefore, the GCF of Fractions 86/897,91/195,130/870 is 1/260130

Least Common Multiple of 897,195,870 with GCF Formula

Least Common Multiple of 897,195,870 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 897,195,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,195,870) = 3

common factors(in case of two or more numbers have common factors) = 195

GCF(897,195,870) x common factors =3 x 195 = 585

LCM(897,195,870) = ( 897 × 195 × 870 ) / 585

LCM(897,195,870) = 152176050 / 585

LCM(897,195,870) = 260130


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 86/897, 91/195, 130/870

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 86/897, 91/195, 130/870?

Answer: GCF of Numerators as per given numbers 86/897, 91/195, 130/870 is

GCF of Numerators i.e. for 86,91,130 is 1

LCM of denominators i.e. for 897,195,870 is 260130.

Thus, GCF of Fractions is 1/260130.Finally, GCF of Fractions for 86/897, 91/195, 130/870 is 1/260130.