Greatest Common Factor of 7038/75, 8331/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7038/75, 8331/503

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 7038/75,8331/503

Given fractions are 7038/75,8331/503

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 7038,8331

Greatest Common Factor of Numerators i.e. GCF of 7038,8331 is 3 .

LCM of Denominators means LCM of 75,503 as per the given fractions.

LCM of 75,503 is 37725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7038,8331

GCF of Fractions 7038/75,8331/503 is 3/37725

3 7038, 8331
2346, 2777

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7038,8331 By Matching Biggest Common Factor Method

Greatest Common Factor of 7038,8331 By Matching Biggest Common Factor Method

Factors of 7038

List of positive integer factors of 7038 that divides 7038 without a remainder.

1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038

Factors of 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1,3,2777,8331

Greatest Common Factor

We found the factors 7038,8331 . The biggest common factor number is the GCF number.
So the greatest common factor 7038,8331 is 3.

Lets's calculate LCM of 75,503

Given numbers has no common factors except 1. So, there LCM is their product i.e 37725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37725

Therefore, the GCF of Fractions 7038/75,8331/503 is 3/37725

Least Common Multiple of 75,503 with GCF Formula

Least Common Multiple of 75,503 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 75,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,503) = 1

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

GCF(75,503) x common factors =1 x 1 = 1

LCM(75,503) = ( 75 × 503 ) / 1

LCM(75,503) = 37725 / 1

LCM(75,503) = 37725


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 7038/75, 8331/503

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 7038/75, 8331/503?

Answer: GCF of Numerators as per given numbers 7038/75, 8331/503 is

GCF of Numerators i.e. for 7038,8331 is 3

LCM of denominators i.e. for 75,503 is 37725.

Thus, GCF of Fractions is 3/37725.Finally, GCF of Fractions for 7038/75, 8331/503 is 3/37725.