Greatest Common Factor of 756/9840, 736/8387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/9840, 736/8387

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 756/9840,736/8387

Given fractions are 756/9840,736/8387

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 756,736

Greatest Common Factor of Numerators i.e. GCF of 756,736 is 4 .

LCM of Denominators means LCM of 9840,8387 as per the given fractions.

LCM of 9840,8387 is 82528080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,736

GCF of Fractions 756/9840,736/8387 is 4/82528080

2 756, 736
2 378, 368
189, 184

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 756,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,736 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 756,736 . The biggest common factor number is the GCF number.
So the greatest common factor 756,736 is 4.

Lets's calculate LCM of 9840,8387

Given numbers has no common factors except 1. So, there LCM is their product i.e 82528080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/82528080

Therefore, the GCF of Fractions 756/9840,736/8387 is 4/82528080

Least Common Multiple of 9840,8387 with GCF Formula

Least Common Multiple of 9840,8387 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 9840,8387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9840,8387) = 1

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

GCF(9840,8387) x common factors =1 x 1 = 1

LCM(9840,8387) = ( 9840 × 8387 ) / 1

LCM(9840,8387) = 82528080 / 1

LCM(9840,8387) = 82528080


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 756/9840, 736/8387

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 756/9840, 736/8387?

Answer: GCF of Numerators as per given numbers 756/9840, 736/8387 is

GCF of Numerators i.e. for 756,736 is 4

LCM of denominators i.e. for 9840,8387 is 82528080.

Thus, GCF of Fractions is 4/82528080.Finally, GCF of Fractions for 756/9840, 736/8387 is 4/82528080.