Greatest Common Factor of 5425/410, 9935/7631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5425/410, 9935/7631

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 5425/410,9935/7631

Given fractions are 5425/410,9935/7631

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 5425,9935

Greatest Common Factor of Numerators i.e. GCF of 5425,9935 is 5 .

LCM of Denominators means LCM of 410,7631 as per the given fractions.

LCM of 410,7631 is 3128710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5425,9935

GCF of Fractions 5425/410,9935/7631 is 5/3128710

5 5425, 9935
1085, 1987

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5425,9935 By Matching Biggest Common Factor Method

Greatest Common Factor of 5425,9935 By Matching Biggest Common Factor Method

Factors of 5425

List of positive integer factors of 5425 that divides 5425 without a remainder.

1,5,7,25,31,35,155,175,217,775,1085,5425

Factors of 9935

List of positive integer factors of 9935 that divides 9935 without a remainder.

1,5,1987,9935

Greatest Common Factor

We found the factors 5425,9935 . The biggest common factor number is the GCF number.
So the greatest common factor 5425,9935 is 5.

Lets's calculate LCM of 410,7631

Given numbers has no common factors except 1. So, there LCM is their product i.e 3128710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3128710

Therefore, the GCF of Fractions 5425/410,9935/7631 is 5/3128710

Least Common Multiple of 410,7631 with GCF Formula

Least Common Multiple of 410,7631 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 410,7631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,7631) = 1

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

GCF(410,7631) x common factors =1 x 1 = 1

LCM(410,7631) = ( 410 × 7631 ) / 1

LCM(410,7631) = 3128710 / 1

LCM(410,7631) = 3128710


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 5425/410, 9935/7631

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 5425/410, 9935/7631?

Answer: GCF of Numerators as per given numbers 5425/410, 9935/7631 is

GCF of Numerators i.e. for 5425,9935 is 5

LCM of denominators i.e. for 410,7631 is 3128710.

Thus, GCF of Fractions is 5/3128710.Finally, GCF of Fractions for 5425/410, 9935/7631 is 5/3128710.