Greatest Common Factor of 7374/25, 9550/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7374/25, 9550/619

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 7374/25,9550/619

Given fractions are 7374/25,9550/619

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 7374,9550

Greatest Common Factor of Numerators i.e. GCF of 7374,9550 is 2 .

LCM of Denominators means LCM of 25,619 as per the given fractions.

LCM of 25,619 is 15475 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7374,9550

GCF of Fractions 7374/25,9550/619 is 2/15475

2 7374, 9550
3687, 4775

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7374,9550 By Matching Biggest Common Factor Method

Greatest Common Factor of 7374,9550 By Matching Biggest Common Factor Method

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1,2,3,6,1229,2458,3687,7374

Factors of 9550

List of positive integer factors of 9550 that divides 9550 without a remainder.

1,2,5,10,25,50,191,382,955,1910,4775,9550

Greatest Common Factor

We found the factors 7374,9550 . The biggest common factor number is the GCF number.
So the greatest common factor 7374,9550 is 2.

Lets's calculate LCM of 25,619

Given numbers has no common factors except 1. So, there LCM is their product i.e 15475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15475

Therefore, the GCF of Fractions 7374/25,9550/619 is 2/15475

Least Common Multiple of 25,619 with GCF Formula

Least Common Multiple of 25,619 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 25,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,619) = 1

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

GCF(25,619) x common factors =1 x 1 = 1

LCM(25,619) = ( 25 × 619 ) / 1

LCM(25,619) = 15475 / 1

LCM(25,619) = 15475


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 7374/25, 9550/619

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 7374/25, 9550/619?

Answer: GCF of Numerators as per given numbers 7374/25, 9550/619 is

GCF of Numerators i.e. for 7374,9550 is 2

LCM of denominators i.e. for 25,619 is 15475.

Thus, GCF of Fractions is 2/15475.Finally, GCF of Fractions for 7374/25, 9550/619 is 2/15475.