Greatest Common Factor of 38/679, 88/543, 823/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/679, 88/543, 823/542

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 38/679,88/543,823/542

Given fractions are 38/679,88/543,823/542

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 38,88,823

Greatest Common Factor of Numerators i.e. GCF of 38,88,823 is 1 .

LCM of Denominators means LCM of 679,543,542 as per the given fractions.

LCM of 679,543,542 is 199833774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,88,823

GCF of Fractions 38/679,88/543,823/542 is 1/199833774

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

Greatest Common Factor of 38,88,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,88,823 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 38,88,823 . The biggest common factor number is the GCF number.
So the greatest common factor 38,88,823 is 1.

Lets's calculate LCM of 679,543,542

Given numbers has no common factors except 1. So, there LCM is their product i.e 199833774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199833774

Therefore, the GCF of Fractions 38/679,88/543,823/542 is 1/199833774

Least Common Multiple of 679,543,542 with GCF Formula

Least Common Multiple of 679,543,542 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 679,543,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,543,542) = 1

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

GCF(679,543,542) x common factors =1 x 1 = 1

LCM(679,543,542) = ( 679 × 543 × 542 ) / 1

LCM(679,543,542) = 199833774 / 1

LCM(679,543,542) = 199833774


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 38/679, 88/543, 823/542

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 38/679, 88/543, 823/542?

Answer: GCF of Numerators as per given numbers 38/679, 88/543, 823/542 is

GCF of Numerators i.e. for 38,88,823 is 1

LCM of denominators i.e. for 679,543,542 is 199833774.

Thus, GCF of Fractions is 1/199833774.Finally, GCF of Fractions for 38/679, 88/543, 823/542 is 1/199833774.