Greatest Common Factor of 944/54, 919/85, 868/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 944/54, 919/85, 868/735

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 944/54,919/85,868/735

Given fractions are 944/54,919/85,868/735

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 944,919,868

Greatest Common Factor of Numerators i.e. GCF of 944,919,868 is 1 .

LCM of Denominators means LCM of 54,85,735 as per the given fractions.

LCM of 54,85,735 is 224910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 944,919,868

GCF of Fractions 944/54,919/85,868/735 is 1/224910

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

Greatest Common Factor of 944,919,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,919,868 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 944,919,868 . The biggest common factor number is the GCF number.
So the greatest common factor 944,919,868 is 1.

Lets's calculate LCM of 54,85,735

3 54, 85, 735
5 18, 85, 245
18, 17, 49

∴ So the LCM of the given numbers is 3 x 5 x 18 x 17 x 49 = 224910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224910

Therefore, the GCF of Fractions 944/54,919/85,868/735 is 1/224910

Least Common Multiple of 54,85,735 with GCF Formula

Least Common Multiple of 54,85,735 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 54,85,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,85,735) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(54,85,735) x common factors =1 x 15 = 15

LCM(54,85,735) = ( 54 × 85 × 735 ) / 15

LCM(54,85,735) = 3373650 / 15

LCM(54,85,735) = 224910


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 944/54, 919/85, 868/735

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 944/54, 919/85, 868/735?

Answer: GCF of Numerators as per given numbers 944/54, 919/85, 868/735 is

GCF of Numerators i.e. for 944,919,868 is 1

LCM of denominators i.e. for 54,85,735 is 224910.

Thus, GCF of Fractions is 1/224910.Finally, GCF of Fractions for 944/54, 919/85, 868/735 is 1/224910.