Greatest Common Factor of 955/48, 111/13, 940/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 955/48, 111/13, 940/784

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 955/48,111/13,940/784

Given fractions are 955/48,111/13,940/784

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 955,111,940

Greatest Common Factor of Numerators i.e. GCF of 955,111,940 is 1 .

LCM of Denominators means LCM of 48,13,784 as per the given fractions.

LCM of 48,13,784 is 30576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 955,111,940

GCF of Fractions 955/48,111/13,940/784 is 1/30576

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

Greatest Common Factor of 955,111,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 955,111,940 By Matching Biggest Common Factor Method

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 955,111,940 . The biggest common factor number is the GCF number.
So the greatest common factor 955,111,940 is 1.

Lets's calculate LCM of 48,13,784

2 48, 13, 784
2 24, 13, 392
2 12, 13, 196
2 6, 13, 98
3, 13, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 13 x 49 = 30576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30576

Therefore, the GCF of Fractions 955/48,111/13,940/784 is 1/30576

Least Common Multiple of 48,13,784 with GCF Formula

Least Common Multiple of 48,13,784 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 48,13,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,13,784) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(48,13,784) x common factors =1 x 16 = 16

LCM(48,13,784) = ( 48 × 13 × 784 ) / 16

LCM(48,13,784) = 489216 / 16

LCM(48,13,784) = 30576


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 955/48, 111/13, 940/784

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 955/48, 111/13, 940/784?

Answer: GCF of Numerators as per given numbers 955/48, 111/13, 940/784 is

GCF of Numerators i.e. for 955,111,940 is 1

LCM of denominators i.e. for 48,13,784 is 30576.

Thus, GCF of Fractions is 1/30576.Finally, GCF of Fractions for 955/48, 111/13, 940/784 is 1/30576.