Greatest Common Factor of 3975/67, 7123/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3975/67, 7123/558

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 3975/67,7123/558

Given fractions are 3975/67,7123/558

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 3975,7123

Greatest Common Factor of Numerators i.e. GCF of 3975,7123 is 1 .

LCM of Denominators means LCM of 67,558 as per the given fractions.

LCM of 67,558 is 37386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3975,7123

GCF of Fractions 3975/67,7123/558 is 1/37386

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

Greatest Common Factor of 3975,7123 By Matching Biggest Common Factor Method

Greatest Common Factor of 3975,7123 By Matching Biggest Common Factor Method

Factors of 3975

List of positive integer factors of 3975 that divides 3975 without a remainder.

1,3,5,15,25,53,75,159,265,795,1325,3975

Factors of 7123

List of positive integer factors of 7123 that divides 7123 without a remainder.

1,17,419,7123

Greatest Common Factor

We found the factors 3975,7123 . The biggest common factor number is the GCF number.
So the greatest common factor 3975,7123 is 1.

Lets's calculate LCM of 67,558

Given numbers has no common factors except 1. So, there LCM is their product i.e 37386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37386

Therefore, the GCF of Fractions 3975/67,7123/558 is 1/37386

Least Common Multiple of 67,558 with GCF Formula

Least Common Multiple of 67,558 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 67,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,558) = 1

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

GCF(67,558) x common factors =1 x 1 = 1

LCM(67,558) = ( 67 × 558 ) / 1

LCM(67,558) = 37386 / 1

LCM(67,558) = 37386


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 3975/67, 7123/558

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 3975/67, 7123/558?

Answer: GCF of Numerators as per given numbers 3975/67, 7123/558 is

GCF of Numerators i.e. for 3975,7123 is 1

LCM of denominators i.e. for 67,558 is 37386.

Thus, GCF of Fractions is 1/37386.Finally, GCF of Fractions for 3975/67, 7123/558 is 1/37386.