Greatest Common Factor of 2425/62, 5050/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2425/62, 5050/506

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 2425/62,5050/506

Given fractions are 2425/62,5050/506

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 2425,5050

Greatest Common Factor of Numerators i.e. GCF of 2425,5050 is 25 .

LCM of Denominators means LCM of 62,506 as per the given fractions.

LCM of 62,506 is 15686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2425,5050

GCF of Fractions 2425/62,5050/506 is 25/15686

5 2425, 5050
5 485, 1010
97, 202

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 2425,5050 By Matching Biggest Common Factor Method

Greatest Common Factor of 2425,5050 By Matching Biggest Common Factor Method

Factors of 2425

List of positive integer factors of 2425 that divides 2425 without a remainder.

1,5,25,97,485,2425

Factors of 5050

List of positive integer factors of 5050 that divides 5050 without a remainder.

1,2,5,10,25,50,101,202,505,1010,2525,5050

Greatest Common Factor

We found the factors 2425,5050 . The biggest common factor number is the GCF number.
So the greatest common factor 2425,5050 is 25.

Lets's calculate LCM of 62,506

2 62, 506
31, 253

∴ So the LCM of the given numbers is 2 x 31 x 253 = 15686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/15686

Therefore, the GCF of Fractions 2425/62,5050/506 is 25/15686

Least Common Multiple of 62,506 with GCF Formula

Least Common Multiple of 62,506 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 62,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,506) = 2

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

GCF(62,506) x common factors =2 x 1 = 2

LCM(62,506) = ( 62 × 506 ) / 2

LCM(62,506) = 31372 / 2

LCM(62,506) = 15686


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 2425/62, 5050/506

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 2425/62, 5050/506?

Answer: GCF of Numerators as per given numbers 2425/62, 5050/506 is

GCF of Numerators i.e. for 2425,5050 is 25

LCM of denominators i.e. for 62,506 is 15686.

Thus, GCF of Fractions is 25/15686.Finally, GCF of Fractions for 2425/62, 5050/506 is 25/15686.