Greatest Common Factor of 57/782, 74/884, 927/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 57/782, 74/884, 927/855

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 57/782,74/884,927/855

Given fractions are 57/782,74/884,927/855

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 57,74,927

Greatest Common Factor of Numerators i.e. GCF of 57,74,927 is 1 .

LCM of Denominators means LCM of 782,884,855 as per the given fractions.

LCM of 782,884,855 is 17383860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 57,74,927

GCF of Fractions 57/782,74/884,927/855 is 1/17383860

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

Greatest Common Factor of 57,74,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,74,927 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 57,74,927 . The biggest common factor number is the GCF number.
So the greatest common factor 57,74,927 is 1.

Lets's calculate LCM of 782,884,855

2 782, 884, 855
17 391, 442, 855
23, 26, 855

∴ So the LCM of the given numbers is 2 x 17 x 23 x 26 x 855 = 17383860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17383860

Therefore, the GCF of Fractions 57/782,74/884,927/855 is 1/17383860

Least Common Multiple of 782,884,855 with GCF Formula

Least Common Multiple of 782,884,855 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 782,884,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,884,855) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(782,884,855) x common factors =1 x 34 = 34

LCM(782,884,855) = ( 782 × 884 × 855 ) / 34

LCM(782,884,855) = 591051240 / 34

LCM(782,884,855) = 17383860


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 57/782, 74/884, 927/855

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 57/782, 74/884, 927/855?

Answer: GCF of Numerators as per given numbers 57/782, 74/884, 927/855 is

GCF of Numerators i.e. for 57,74,927 is 1

LCM of denominators i.e. for 782,884,855 is 17383860.

Thus, GCF of Fractions is 1/17383860.Finally, GCF of Fractions for 57/782, 74/884, 927/855 is 1/17383860.