Greatest Common Factor of 5025/731, 3762/2719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5025/731, 3762/2719

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 5025/731,3762/2719

Given fractions are 5025/731,3762/2719

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 5025,3762

Greatest Common Factor of Numerators i.e. GCF of 5025,3762 is 3 .

LCM of Denominators means LCM of 731,2719 as per the given fractions.

LCM of 731,2719 is 1987589 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5025,3762

GCF of Fractions 5025/731,3762/2719 is 3/1987589

3 5025, 3762
1675, 1254

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5025,3762 By Matching Biggest Common Factor Method

Greatest Common Factor of 5025,3762 By Matching Biggest Common Factor Method

Factors of 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1,3,5,15,25,67,75,201,335,1005,1675,5025

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Greatest Common Factor

We found the factors 5025,3762 . The biggest common factor number is the GCF number.
So the greatest common factor 5025,3762 is 3.

Lets's calculate LCM of 731,2719

Given numbers has no common factors except 1. So, there LCM is their product i.e 1987589

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1987589

Therefore, the GCF of Fractions 5025/731,3762/2719 is 3/1987589

Least Common Multiple of 731,2719 with GCF Formula

Least Common Multiple of 731,2719 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 731,2719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,2719) = 1

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

GCF(731,2719) x common factors =1 x 1 = 1

LCM(731,2719) = ( 731 × 2719 ) / 1

LCM(731,2719) = 1987589 / 1

LCM(731,2719) = 1987589


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 5025/731, 3762/2719

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 5025/731, 3762/2719?

Answer: GCF of Numerators as per given numbers 5025/731, 3762/2719 is

GCF of Numerators i.e. for 5025,3762 is 3

LCM of denominators i.e. for 731,2719 is 1987589.

Thus, GCF of Fractions is 3/1987589.Finally, GCF of Fractions for 5025/731, 3762/2719 is 3/1987589.