Greatest Common Factor of 8844/60, 5819/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8844/60, 5819/435

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 8844/60,5819/435

Given fractions are 8844/60,5819/435

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 8844,5819

Greatest Common Factor of Numerators i.e. GCF of 8844,5819 is 11 .

LCM of Denominators means LCM of 60,435 as per the given fractions.

LCM of 60,435 is 1740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8844,5819

GCF of Fractions 8844/60,5819/435 is 11/1740

11 8844, 5819
804, 529

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8844,5819 By Matching Biggest Common Factor Method

Greatest Common Factor of 8844,5819 By Matching Biggest Common Factor Method

Factors of 8844

List of positive integer factors of 8844 that divides 8844 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,67,132,134,201,268,402,737,804,1474,2211,2948,4422,8844

Factors of 5819

List of positive integer factors of 5819 that divides 5819 without a remainder.

1,11,23,253,529,5819

Greatest Common Factor

We found the factors 8844,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 8844,5819 is 11.

Lets's calculate LCM of 60,435

3 60, 435
5 20, 145
4, 29

∴ So the LCM of the given numbers is 3 x 5 x 4 x 29 = 1740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1740

Therefore, the GCF of Fractions 8844/60,5819/435 is 11/1740

Least Common Multiple of 60,435 with GCF Formula

Least Common Multiple of 60,435 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 60,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,435) = 15

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

GCF(60,435) x common factors =15 x 1 = 15

LCM(60,435) = ( 60 × 435 ) / 15

LCM(60,435) = 26100 / 15

LCM(60,435) = 1740


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 8844/60, 5819/435

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 8844/60, 5819/435?

Answer: GCF of Numerators as per given numbers 8844/60, 5819/435 is

GCF of Numerators i.e. for 8844,5819 is 11

LCM of denominators i.e. for 60,435 is 1740.

Thus, GCF of Fractions is 11/1740.Finally, GCF of Fractions for 8844/60, 5819/435 is 11/1740.