Greatest Common Factor of 5325/807, 1116/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5325/807, 1116/391

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 5325/807,1116/391

Given fractions are 5325/807,1116/391

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 5325,1116

Greatest Common Factor of Numerators i.e. GCF of 5325,1116 is 3 .

LCM of Denominators means LCM of 807,391 as per the given fractions.

LCM of 807,391 is 315537 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5325,1116

GCF of Fractions 5325/807,1116/391 is 3/315537

3 5325, 1116
1775, 372

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

Greatest Common Factor of 5325,1116 By Matching Biggest Common Factor Method

Greatest Common Factor of 5325,1116 By Matching Biggest Common Factor Method

Factors of 5325

List of positive integer factors of 5325 that divides 5325 without a remainder.

1,3,5,15,25,71,75,213,355,1065,1775,5325

Factors of 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116

Greatest Common Factor

We found the factors 5325,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 5325,1116 is 3.

Lets's calculate LCM of 807,391

Given numbers has no common factors except 1. So, there LCM is their product i.e 315537

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/315537

Therefore, the GCF of Fractions 5325/807,1116/391 is 3/315537

Least Common Multiple of 807,391 with GCF Formula

Least Common Multiple of 807,391 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 807,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,391) = 1

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

GCF(807,391) x common factors =1 x 1 = 1

LCM(807,391) = ( 807 × 391 ) / 1

LCM(807,391) = 315537 / 1

LCM(807,391) = 315537


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 5325/807, 1116/391

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 5325/807, 1116/391?

Answer: GCF of Numerators as per given numbers 5325/807, 1116/391 is

GCF of Numerators i.e. for 5325,1116 is 3

LCM of denominators i.e. for 807,391 is 315537.

Thus, GCF of Fractions is 3/315537.Finally, GCF of Fractions for 5325/807, 1116/391 is 3/315537.