Greatest Common Factor of 619/88, 108/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 619/88, 108/891

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 619/88,108/891

Given fractions are 619/88,108/891

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 619,108

Greatest Common Factor of Numerators i.e. GCF of 619,108 is 1 .

LCM of Denominators means LCM of 88,891 as per the given fractions.

LCM of 88,891 is 7128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 619,108

GCF of Fractions 619/88,108/891 is 1/7128

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

Greatest Common Factor of 619,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 619,108 By Matching Biggest Common Factor Method

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 619,108 . The biggest common factor number is the GCF number.
So the greatest common factor 619,108 is 1.

Lets's calculate LCM of 88,891

11 88, 891
8, 81

∴ So the LCM of the given numbers is 11 x 8 x 81 = 7128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7128

Therefore, the GCF of Fractions 619/88,108/891 is 1/7128

Least Common Multiple of 88,891 with GCF Formula

Least Common Multiple of 88,891 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 88,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,891) = 11

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

GCF(88,891) x common factors =11 x 1 = 11

LCM(88,891) = ( 88 × 891 ) / 11

LCM(88,891) = 78408 / 11

LCM(88,891) = 7128


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 619/88, 108/891

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 619/88, 108/891?

Answer: GCF of Numerators as per given numbers 619/88, 108/891 is

GCF of Numerators i.e. for 619,108 is 1

LCM of denominators i.e. for 88,891 is 7128.

Thus, GCF of Fractions is 1/7128.Finally, GCF of Fractions for 619/88, 108/891 is 1/7128.