Greatest Common Factor of 8514/35, 8740/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8514/35, 8740/392

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 8514/35,8740/392

Given fractions are 8514/35,8740/392

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 8514,8740

Greatest Common Factor of Numerators i.e. GCF of 8514,8740 is 2 .

LCM of Denominators means LCM of 35,392 as per the given fractions.

LCM of 35,392 is 1960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8514,8740

GCF of Fractions 8514/35,8740/392 is 2/1960

2 8514, 8740
4257, 4370

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

Greatest Common Factor of 8514,8740 By Matching Biggest Common Factor Method

Greatest Common Factor of 8514,8740 By Matching Biggest Common Factor Method

Factors of 8514

List of positive integer factors of 8514 that divides 8514 without a remainder.

1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Greatest Common Factor

We found the factors 8514,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 8514,8740 is 2.

Lets's calculate LCM of 35,392

7 35, 392
5, 56

∴ So the LCM of the given numbers is 7 x 5 x 56 = 1960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1960

Therefore, the GCF of Fractions 8514/35,8740/392 is 2/1960

Least Common Multiple of 35,392 with GCF Formula

Least Common Multiple of 35,392 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 35,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,392) = 7

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

GCF(35,392) x common factors =7 x 1 = 7

LCM(35,392) = ( 35 × 392 ) / 7

LCM(35,392) = 13720 / 7

LCM(35,392) = 1960


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 8514/35, 8740/392

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 8514/35, 8740/392?

Answer: GCF of Numerators as per given numbers 8514/35, 8740/392 is

GCF of Numerators i.e. for 8514,8740 is 2

LCM of denominators i.e. for 35,392 is 1960.

Thus, GCF of Fractions is 2/1960.Finally, GCF of Fractions for 8514/35, 8740/392 is 2/1960.