Greatest Common Factor of 920/420, 310/968, 190/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/420, 310/968, 190/132

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 920/420,310/968,190/132

Given fractions are 920/420,310/968,190/132

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 920,310,190

Greatest Common Factor of Numerators i.e. GCF of 920,310,190 is 10 .

LCM of Denominators means LCM of 420,968,132 as per the given fractions.

LCM of 420,968,132 is 101640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,310,190

GCF of Fractions 920/420,310/968,190/132 is 10/101640

2 920, 310, 190
5 460, 155, 95
92, 31, 19

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 920,310,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,310,190 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 920,310,190 . The biggest common factor number is the GCF number.
So the greatest common factor 920,310,190 is 10.

Lets's calculate LCM of 420,968,132

2 420, 968, 132
2 210, 484, 66
3 105, 242, 33
11 35, 242, 11
35, 22, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 35 x 22 x 1 = 101640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/101640

Therefore, the GCF of Fractions 920/420,310/968,190/132 is 10/101640

Least Common Multiple of 420,968,132 with GCF Formula

Least Common Multiple of 420,968,132 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 420,968,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,968,132) = 4

common factors(in case of two or more numbers have common factors) = 132

GCF(420,968,132) x common factors =4 x 132 = 528

LCM(420,968,132) = ( 420 × 968 × 132 ) / 528

LCM(420,968,132) = 53665920 / 528

LCM(420,968,132) = 101640


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 920/420, 310/968, 190/132

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 920/420, 310/968, 190/132?

Answer: GCF of Numerators as per given numbers 920/420, 310/968, 190/132 is

GCF of Numerators i.e. for 920,310,190 is 10

LCM of denominators i.e. for 420,968,132 is 101640.

Thus, GCF of Fractions is 10/101640.Finally, GCF of Fractions for 920/420, 310/968, 190/132 is 10/101640.