Greatest Common Factor of 61/119, 559/150, 986/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/119, 559/150, 986/637

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 61/119,559/150,986/637

Given fractions are 61/119,559/150,986/637

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 61,559,986

Greatest Common Factor of Numerators i.e. GCF of 61,559,986 is 1 .

LCM of Denominators means LCM of 119,150,637 as per the given fractions.

LCM of 119,150,637 is 1624350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,559,986

GCF of Fractions 61/119,559/150,986/637 is 1/1624350

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

Greatest Common Factor of 61,559,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,559,986 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 986

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

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

Greatest Common Factor

We found the factors 61,559,986 . The biggest common factor number is the GCF number.
So the greatest common factor 61,559,986 is 1.

Lets's calculate LCM of 119,150,637

7 119, 150, 637
17, 150, 91

∴ So the LCM of the given numbers is 7 x 17 x 150 x 91 = 1624350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624350

Therefore, the GCF of Fractions 61/119,559/150,986/637 is 1/1624350

Least Common Multiple of 119,150,637 with GCF Formula

Least Common Multiple of 119,150,637 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 119,150,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,150,637) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(119,150,637) x common factors =1 x 7 = 7

LCM(119,150,637) = ( 119 × 150 × 637 ) / 7

LCM(119,150,637) = 11370450 / 7

LCM(119,150,637) = 1624350


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 61/119, 559/150, 986/637

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 61/119, 559/150, 986/637?

Answer: GCF of Numerators as per given numbers 61/119, 559/150, 986/637 is

GCF of Numerators i.e. for 61,559,986 is 1

LCM of denominators i.e. for 119,150,637 is 1624350.

Thus, GCF of Fractions is 1/1624350.Finally, GCF of Fractions for 61/119, 559/150, 986/637 is 1/1624350.