Greatest Common Factor of 731/420, 3954/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 731/420, 3954/250

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 731/420,3954/250

Given fractions are 731/420,3954/250

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 731,3954

Greatest Common Factor of Numerators i.e. GCF of 731,3954 is 1 .

LCM of Denominators means LCM of 420,250 as per the given fractions.

LCM of 420,250 is 10500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 731,3954

GCF of Fractions 731/420,3954/250 is 1/10500

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

Greatest Common Factor of 731,3954 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,3954 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 3954

List of positive integer factors of 3954 that divides 3954 without a remainder.

1,2,3,6,659,1318,1977,3954

Greatest Common Factor

We found the factors 731,3954 . The biggest common factor number is the GCF number.
So the greatest common factor 731,3954 is 1.

Lets's calculate LCM of 420,250

2 420, 250
5 210, 125
42, 25

∴ So the LCM of the given numbers is 2 x 5 x 42 x 25 = 10500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10500

Therefore, the GCF of Fractions 731/420,3954/250 is 1/10500

Least Common Multiple of 420,250 with GCF Formula

Least Common Multiple of 420,250 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 420,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,250) = 10

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

GCF(420,250) x common factors =10 x 1 = 10

LCM(420,250) = ( 420 × 250 ) / 10

LCM(420,250) = 105000 / 10

LCM(420,250) = 10500


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 731/420, 3954/250

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 731/420, 3954/250?

Answer: GCF of Numerators as per given numbers 731/420, 3954/250 is

GCF of Numerators i.e. for 731,3954 is 1

LCM of denominators i.e. for 420,250 is 10500.

Thus, GCF of Fractions is 1/10500.Finally, GCF of Fractions for 731/420, 3954/250 is 1/10500.