Greatest Common Factor of 375/96, 786/42, 882/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 375/96, 786/42, 882/784

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 375/96,786/42,882/784

Given fractions are 375/96,786/42,882/784

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 375,786,882

Greatest Common Factor of Numerators i.e. GCF of 375,786,882 is 3 .

LCM of Denominators means LCM of 96,42,784 as per the given fractions.

LCM of 96,42,784 is 4704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 375,786,882

GCF of Fractions 375/96,786/42,882/784 is 3/4704

3 375, 786, 882
125, 262, 294

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

Greatest Common Factor of 375,786,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,786,882 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 786

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

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

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 375,786,882 . The biggest common factor number is the GCF number.
So the greatest common factor 375,786,882 is 3.

Lets's calculate LCM of 96,42,784

2 96, 42, 784
2 48, 21, 392
2 24, 21, 196
2 12, 21, 98
3 6, 21, 49
7 2, 7, 49
2, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 2 x 1 x 7 = 4704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4704

Therefore, the GCF of Fractions 375/96,786/42,882/784 is 3/4704

Least Common Multiple of 96,42,784 with GCF Formula

Least Common Multiple of 96,42,784 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 96,42,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,42,784) = 2

common factors(in case of two or more numbers have common factors) = 336

GCF(96,42,784) x common factors =2 x 336 = 672

LCM(96,42,784) = ( 96 × 42 × 784 ) / 672

LCM(96,42,784) = 3161088 / 672

LCM(96,42,784) = 4704


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 375/96, 786/42, 882/784

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 375/96, 786/42, 882/784?

Answer: GCF of Numerators as per given numbers 375/96, 786/42, 882/784 is

GCF of Numerators i.e. for 375,786,882 is 3

LCM of denominators i.e. for 96,42,784 is 4704.

Thus, GCF of Fractions is 3/4704.Finally, GCF of Fractions for 375/96, 786/42, 882/784 is 3/4704.