Greatest Common Factor of 3952/982, 7274/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3952/982, 7274/140

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 3952/982,7274/140

Given fractions are 3952/982,7274/140

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 3952,7274

Greatest Common Factor of Numerators i.e. GCF of 3952,7274 is 2 .

LCM of Denominators means LCM of 982,140 as per the given fractions.

LCM of 982,140 is 68740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3952,7274

GCF of Fractions 3952/982,7274/140 is 2/68740

2 3952, 7274
1976, 3637

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

Greatest Common Factor of 3952,7274 By Matching Biggest Common Factor Method

Greatest Common Factor of 3952,7274 By Matching Biggest Common Factor Method

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952

Factors of 7274

List of positive integer factors of 7274 that divides 7274 without a remainder.

1,2,3637,7274

Greatest Common Factor

We found the factors 3952,7274 . The biggest common factor number is the GCF number.
So the greatest common factor 3952,7274 is 2.

Lets's calculate LCM of 982,140

2 982, 140
491, 70

∴ So the LCM of the given numbers is 2 x 491 x 70 = 68740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68740

Therefore, the GCF of Fractions 3952/982,7274/140 is 2/68740

Least Common Multiple of 982,140 with GCF Formula

Least Common Multiple of 982,140 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 982,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,140) = 2

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

GCF(982,140) x common factors =2 x 1 = 2

LCM(982,140) = ( 982 × 140 ) / 2

LCM(982,140) = 137480 / 2

LCM(982,140) = 68740


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 3952/982, 7274/140

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 3952/982, 7274/140?

Answer: GCF of Numerators as per given numbers 3952/982, 7274/140 is

GCF of Numerators i.e. for 3952,7274 is 2

LCM of denominators i.e. for 982,140 is 68740.

Thus, GCF of Fractions is 2/68740.Finally, GCF of Fractions for 3952/982, 7274/140 is 2/68740.