Greatest Common Factor of 986/209, 853/119, 505/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 986/209, 853/119, 505/867

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 986/209,853/119,505/867

Given fractions are 986/209,853/119,505/867

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 986,853,505

Greatest Common Factor of Numerators i.e. GCF of 986,853,505 is 1 .

LCM of Denominators means LCM of 209,119,867 as per the given fractions.

LCM of 209,119,867 is 1268421 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 986,853,505

GCF of Fractions 986/209,853/119,505/867 is 1/1268421

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

Greatest Common Factor of 986,853,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,853,505 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 986,853,505 . The biggest common factor number is the GCF number.
So the greatest common factor 986,853,505 is 1.

Lets's calculate LCM of 209,119,867

17 209, 119, 867
209, 7, 51

∴ So the LCM of the given numbers is 17 x 209 x 7 x 51 = 1268421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1268421

Therefore, the GCF of Fractions 986/209,853/119,505/867 is 1/1268421

Least Common Multiple of 209,119,867 with GCF Formula

Least Common Multiple of 209,119,867 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 209,119,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,119,867) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(209,119,867) x common factors =1 x 17 = 17

LCM(209,119,867) = ( 209 × 119 × 867 ) / 17

LCM(209,119,867) = 21563157 / 17

LCM(209,119,867) = 1268421


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 986/209, 853/119, 505/867

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 986/209, 853/119, 505/867?

Answer: GCF of Numerators as per given numbers 986/209, 853/119, 505/867 is

GCF of Numerators i.e. for 986,853,505 is 1

LCM of denominators i.e. for 209,119,867 is 1268421.

Thus, GCF of Fractions is 1/1268421.Finally, GCF of Fractions for 986/209, 853/119, 505/867 is 1/1268421.