Greatest Common Factor of 786/28, 1132/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 786/28, 1132/416

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 786/28,1132/416

Given fractions are 786/28,1132/416

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 786,1132

Greatest Common Factor of Numerators i.e. GCF of 786,1132 is 2 .

LCM of Denominators means LCM of 28,416 as per the given fractions.

LCM of 28,416 is 2912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 786,1132

GCF of Fractions 786/28,1132/416 is 2/2912

2 786, 1132
393, 566

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 786,1132 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,1132 By Matching Biggest Common Factor Method

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 1132

List of positive integer factors of 1132 that divides 1132 without a remainder.

1,2,4,283,566,1132

Greatest Common Factor

We found the factors 786,1132 . The biggest common factor number is the GCF number.
So the greatest common factor 786,1132 is 2.

Lets's calculate LCM of 28,416

2 28, 416
2 14, 208
7, 104

∴ So the LCM of the given numbers is 2 x 2 x 7 x 104 = 2912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2912

Therefore, the GCF of Fractions 786/28,1132/416 is 2/2912

Least Common Multiple of 28,416 with GCF Formula

Least Common Multiple of 28,416 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 28,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,416) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(28,416) x common factors =4 x 1 = 4

LCM(28,416) = ( 28 × 416 ) / 4

LCM(28,416) = 11648 / 4

LCM(28,416) = 2912


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 786/28, 1132/416

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 786/28, 1132/416?

Answer: GCF of Numerators as per given numbers 786/28, 1132/416 is

GCF of Numerators i.e. for 786,1132 is 2

LCM of denominators i.e. for 28,416 is 2912.

Thus, GCF of Fractions is 2/2912.Finally, GCF of Fractions for 786/28, 1132/416 is 2/2912.