Greatest Common Factor of 852/47, 939/28, 786/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 852/47, 939/28, 786/712

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 852/47,939/28,786/712

Given fractions are 852/47,939/28,786/712

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 852,939,786

Greatest Common Factor of Numerators i.e. GCF of 852,939,786 is 3 .

LCM of Denominators means LCM of 47,28,712 as per the given fractions.

LCM of 47,28,712 is 234248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 852,939,786

GCF of Fractions 852/47,939/28,786/712 is 3/234248

3 852, 939, 786
284, 313, 262

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 852,939,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,939,786 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 852,939,786 . The biggest common factor number is the GCF number.
So the greatest common factor 852,939,786 is 3.

Lets's calculate LCM of 47,28,712

2 47, 28, 712
2 47, 14, 356
47, 7, 178

∴ So the LCM of the given numbers is 2 x 2 x 47 x 7 x 178 = 234248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/234248

Therefore, the GCF of Fractions 852/47,939/28,786/712 is 3/234248

Least Common Multiple of 47,28,712 with GCF Formula

Least Common Multiple of 47,28,712 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 47,28,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,28,712) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(47,28,712) x common factors =1 x 4 = 4

LCM(47,28,712) = ( 47 × 28 × 712 ) / 4

LCM(47,28,712) = 936992 / 4

LCM(47,28,712) = 234248


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 852/47, 939/28, 786/712

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 852/47, 939/28, 786/712?

Answer: GCF of Numerators as per given numbers 852/47, 939/28, 786/712 is

GCF of Numerators i.e. for 852,939,786 is 3

LCM of denominators i.e. for 47,28,712 is 234248.

Thus, GCF of Fractions is 3/234248.Finally, GCF of Fractions for 852/47, 939/28, 786/712 is 3/234248.