Greatest Common Factor of 79/601, 869/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/601, 869/219

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 79/601,869/219

Given fractions are 79/601,869/219

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 79,869

Greatest Common Factor of Numerators i.e. GCF of 79,869 is 79 .

LCM of Denominators means LCM of 601,219 as per the given fractions.

LCM of 601,219 is 131619 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,869

GCF of Fractions 79/601,869/219 is 79/131619

79 79, 869
1, 11

∴ So the GCF of the given numbers is 79 = 79

Greatest Common Factor of 79,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,869 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 79,869 . The biggest common factor number is the GCF number.
So the greatest common factor 79,869 is 79.

Lets's calculate LCM of 601,219

Given numbers has no common factors except 1. So, there LCM is their product i.e 131619

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 79/131619

Therefore, the GCF of Fractions 79/601,869/219 is 79/131619

Least Common Multiple of 601,219 with GCF Formula

Least Common Multiple of 601,219 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 601,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,219) = 1

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

GCF(601,219) x common factors =1 x 1 = 1

LCM(601,219) = ( 601 × 219 ) / 1

LCM(601,219) = 131619 / 1

LCM(601,219) = 131619


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 79/601, 869/219

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 79/601, 869/219?

Answer: GCF of Numerators as per given numbers 79/601, 869/219 is

GCF of Numerators i.e. for 79,869 is 79

LCM of denominators i.e. for 601,219 is 131619.

Thus, GCF of Fractions is 79/131619.Finally, GCF of Fractions for 79/601, 869/219 is 79/131619.