Greatest Common Factor of 807/43, 6762/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 807/43, 6762/716

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 807/43,6762/716

Given fractions are 807/43,6762/716

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 807,6762

Greatest Common Factor of Numerators i.e. GCF of 807,6762 is 3 .

LCM of Denominators means LCM of 43,716 as per the given fractions.

LCM of 43,716 is 30788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 807,6762

GCF of Fractions 807/43,6762/716 is 3/30788

3 807, 6762
269, 2254

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

Greatest Common Factor of 807,6762 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,6762 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762

Greatest Common Factor

We found the factors 807,6762 . The biggest common factor number is the GCF number.
So the greatest common factor 807,6762 is 3.


Lets's calculate LCM of 43,716

Given numbers has no common factors except 1. So, there LCM is their product i.e 30788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30788

Therefore, the GCF of Fractions 807/43,6762/716 is 3/30788

Least Common Multiple of 43,716 with GCF Formula

Least Common Multiple of 43,716 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 43,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,716) = 1

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

GCF(43,716) x common factors =1 x 1 = 1

LCM(43,716) = ( 43 × 716 ) / 1

LCM(43,716) = 30788 / 1

LCM(43,716) = 30788


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 807/43, 6762/716

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 807/43, 6762/716?

Answer: GCF of Numerators as per given numbers 807/43, 6762/716 is

GCF of Numerators i.e. for 807,6762 is 3

LCM of denominators i.e. for 43,716 is 30788.

Thus, GCF of Fractions is 3/30788.Finally, GCF of Fractions for 807/43, 6762/716 is 3/30788.