Greatest Common Factor of 7474/75, 9609/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7474/75, 9609/974

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 7474/75,9609/974

Given fractions are 7474/75,9609/974

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 7474,9609

Greatest Common Factor of Numerators i.e. GCF of 7474,9609 is 1 .

LCM of Denominators means LCM of 75,974 as per the given fractions.

LCM of 75,974 is 73050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7474,9609

GCF of Fractions 7474/75,9609/974 is 1/73050

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

Greatest Common Factor of 7474,9609 By Matching Biggest Common Factor Method

Greatest Common Factor of 7474,9609 By Matching Biggest Common Factor Method

Factors of 7474

List of positive integer factors of 7474 that divides 7474 without a remainder.

1,2,37,74,101,202,3737,7474

Factors of 9609

List of positive integer factors of 9609 that divides 9609 without a remainder.

1,3,3203,9609

Greatest Common Factor

We found the factors 7474,9609 . The biggest common factor number is the GCF number.
So the greatest common factor 7474,9609 is 1.

Lets's calculate LCM of 75,974

Given numbers has no common factors except 1. So, there LCM is their product i.e 73050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73050

Therefore, the GCF of Fractions 7474/75,9609/974 is 1/73050

Least Common Multiple of 75,974 with GCF Formula

Least Common Multiple of 75,974 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 75,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,974) = 1

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

GCF(75,974) x common factors =1 x 1 = 1

LCM(75,974) = ( 75 × 974 ) / 1

LCM(75,974) = 73050 / 1

LCM(75,974) = 73050


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 7474/75, 9609/974

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 7474/75, 9609/974?

Answer: GCF of Numerators as per given numbers 7474/75, 9609/974 is

GCF of Numerators i.e. for 7474,9609 is 1

LCM of denominators i.e. for 75,974 is 73050.

Thus, GCF of Fractions is 1/73050.Finally, GCF of Fractions for 7474/75, 9609/974 is 1/73050.