Greatest Common Factor of 4719/557, 8034/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4719/557, 8034/164

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 4719/557,8034/164

Given fractions are 4719/557,8034/164

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 4719,8034

Greatest Common Factor of Numerators i.e. GCF of 4719,8034 is 39 .

LCM of Denominators means LCM of 557,164 as per the given fractions.

LCM of 557,164 is 91348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4719,8034

GCF of Fractions 4719/557,8034/164 is 39/91348

3 4719, 8034
13 1573, 2678
121, 206

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 4719,8034 By Matching Biggest Common Factor Method

Greatest Common Factor of 4719,8034 By Matching Biggest Common Factor Method

Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1,3,11,13,33,39,121,143,363,429,1573,4719

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Greatest Common Factor

We found the factors 4719,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 4719,8034 is 39.

Lets's calculate LCM of 557,164

Given numbers has no common factors except 1. So, there LCM is their product i.e 91348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/91348

Therefore, the GCF of Fractions 4719/557,8034/164 is 39/91348

Least Common Multiple of 557,164 with GCF Formula

Least Common Multiple of 557,164 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 557,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,164) = 1

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

GCF(557,164) x common factors =1 x 1 = 1

LCM(557,164) = ( 557 × 164 ) / 1

LCM(557,164) = 91348 / 1

LCM(557,164) = 91348


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 4719/557, 8034/164

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 4719/557, 8034/164?

Answer: GCF of Numerators as per given numbers 4719/557, 8034/164 is

GCF of Numerators i.e. for 4719,8034 is 39

LCM of denominators i.e. for 557,164 is 91348.

Thus, GCF of Fractions is 39/91348.Finally, GCF of Fractions for 4719/557, 8034/164 is 39/91348.