Greatest Common Factor of 9/78, 75/76, 51/694, 543/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/78, 75/76, 51/694, 543/763

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 9/78,75/76,51/694,543/763

Given fractions are 9/78,75/76,51/694,543/763

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 9,75,51,543

Greatest Common Factor of Numerators i.e. GCF of 9,75,51,543 is 3 .

LCM of Denominators means LCM of 78,76,694,763 as per the given fractions.

LCM of 78,76,694,763 is 784751604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,75,51,543

GCF of Fractions 9/78,75/76,51/694,543/763 is 3/784751604

3 9, 75, 51, 543
3, 25, 17, 181

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

Greatest Common Factor of 9,75,51,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,75,51,543 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 9,75,51,543 . The biggest common factor number is the GCF number.
So the greatest common factor 9,75,51,543 is 3.

Lets's calculate LCM of 78,76,694,763

2 78, 76, 694, 763
39, 38, 347, 763

∴ So the LCM of the given numbers is 2 x 39 x 38 x 347 x 763 = 784751604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/784751604

Therefore, the GCF of Fractions 9/78,75/76,51/694,543/763 is 3/784751604

Least Common Multiple of 78,76,694,763 with GCF Formula

Least Common Multiple of 78,76,694,763 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 78,76,694,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,76,694,763) = 1

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

GCF(78,76,694,763) x common factors =1 x 4 = 4

LCM(78,76,694,763) = ( 78 × 76 × 694 × 763 ) / 4

LCM(78,76,694,763) = 3139006416 / 4

LCM(78,76,694,763) = 784751604


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 9/78, 75/76, 51/694, 543/763

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 9/78, 75/76, 51/694, 543/763?

Answer: GCF of Numerators as per given numbers 9/78, 75/76, 51/694, 543/763 is

GCF of Numerators i.e. for 9,75,51,543 is 3

LCM of denominators i.e. for 78,76,694,763 is 784751604.

Thus, GCF of Fractions is 3/784751604.Finally, GCF of Fractions for 9/78, 75/76, 51/694, 543/763 is 3/784751604.