Greatest Common Factor of 7499/30, 6121/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7499/30, 6121/658

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 7499/30,6121/658

Given fractions are 7499/30,6121/658

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 7499,6121

Greatest Common Factor of Numerators i.e. GCF of 7499,6121 is 1 .

LCM of Denominators means LCM of 30,658 as per the given fractions.

LCM of 30,658 is 9870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7499,6121

GCF of Fractions 7499/30,6121/658 is 1/9870

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

Greatest Common Factor of 7499,6121 By Matching Biggest Common Factor Method

Greatest Common Factor of 7499,6121 By Matching Biggest Common Factor Method

Factors of 7499

List of positive integer factors of 7499 that divides 7499 without a remainder.

1,7499

Factors of 6121

List of positive integer factors of 6121 that divides 6121 without a remainder.

1,6121

Greatest Common Factor

We found the factors 7499,6121 . The biggest common factor number is the GCF number.
So the greatest common factor 7499,6121 is 1.

Lets's calculate LCM of 30,658

2 30, 658
15, 329

∴ So the LCM of the given numbers is 2 x 15 x 329 = 9870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9870

Therefore, the GCF of Fractions 7499/30,6121/658 is 1/9870

Least Common Multiple of 30,658 with GCF Formula

Least Common Multiple of 30,658 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 30,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,658) = 2

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

GCF(30,658) x common factors =2 x 1 = 2

LCM(30,658) = ( 30 × 658 ) / 2

LCM(30,658) = 19740 / 2

LCM(30,658) = 9870


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 7499/30, 6121/658

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 7499/30, 6121/658?

Answer: GCF of Numerators as per given numbers 7499/30, 6121/658 is

GCF of Numerators i.e. for 7499,6121 is 1

LCM of denominators i.e. for 30,658 is 9870.

Thus, GCF of Fractions is 1/9870.Finally, GCF of Fractions for 7499/30, 6121/658 is 1/9870.