Greatest Common Factor of 937/48, 707/95, 109/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 937/48, 707/95, 109/400

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 937/48,707/95,109/400

Given fractions are 937/48,707/95,109/400

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 937,707,109

Greatest Common Factor of Numerators i.e. GCF of 937,707,109 is 1 .

LCM of Denominators means LCM of 48,95,400 as per the given fractions.

LCM of 48,95,400 is 22800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 937,707,109

GCF of Fractions 937/48,707/95,109/400 is 1/22800

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

Greatest Common Factor of 937,707,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,707,109 By Matching Biggest Common Factor Method

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 937,707,109 . The biggest common factor number is the GCF number.
So the greatest common factor 937,707,109 is 1.

Lets's calculate LCM of 48,95,400

2 48, 95, 400
2 24, 95, 200
2 12, 95, 100
2 6, 95, 50
5 3, 95, 25
3, 19, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 3 x 19 x 5 = 22800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22800

Therefore, the GCF of Fractions 937/48,707/95,109/400 is 1/22800

Least Common Multiple of 48,95,400 with GCF Formula

Least Common Multiple of 48,95,400 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 48,95,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,95,400) = 1

common factors(in case of two or more numbers have common factors) = 80

GCF(48,95,400) x common factors =1 x 80 = 80

LCM(48,95,400) = ( 48 × 95 × 400 ) / 80

LCM(48,95,400) = 1824000 / 80

LCM(48,95,400) = 22800


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 937/48, 707/95, 109/400

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 937/48, 707/95, 109/400?

Answer: GCF of Numerators as per given numbers 937/48, 707/95, 109/400 is

GCF of Numerators i.e. for 937,707,109 is 1

LCM of denominators i.e. for 48,95,400 is 22800.

Thus, GCF of Fractions is 1/22800.Finally, GCF of Fractions for 937/48, 707/95, 109/400 is 1/22800.