Greatest Common Factor of 1443/945, 6916/8020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1443/945, 6916/8020

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 1443/945,6916/8020

Given fractions are 1443/945,6916/8020

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 1443,6916

Greatest Common Factor of Numerators i.e. GCF of 1443,6916 is 13 .

LCM of Denominators means LCM of 945,8020 as per the given fractions.

LCM of 945,8020 is 1515780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1443,6916

GCF of Fractions 1443/945,6916/8020 is 13/1515780

13 1443, 6916
111, 532

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1443,6916 By Matching Biggest Common Factor Method

Greatest Common Factor of 1443,6916 By Matching Biggest Common Factor Method

Factors of 1443

List of positive integer factors of 1443 that divides 1443 without a remainder.

1,3,13,37,39,111,481,1443

Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916

Greatest Common Factor

We found the factors 1443,6916 . The biggest common factor number is the GCF number.
So the greatest common factor 1443,6916 is 13.

Lets's calculate LCM of 945,8020

5 945, 8020
189, 1604

∴ So the LCM of the given numbers is 5 x 189 x 1604 = 1515780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1515780

Therefore, the GCF of Fractions 1443/945,6916/8020 is 13/1515780

Least Common Multiple of 945,8020 with GCF Formula

Least Common Multiple of 945,8020 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 945,8020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,8020) = 5

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

GCF(945,8020) x common factors =5 x 1 = 5

LCM(945,8020) = ( 945 × 8020 ) / 5

LCM(945,8020) = 7578900 / 5

LCM(945,8020) = 1515780


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 1443/945, 6916/8020

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 1443/945, 6916/8020?

Answer: GCF of Numerators as per given numbers 1443/945, 6916/8020 is

GCF of Numerators i.e. for 1443,6916 is 13

LCM of denominators i.e. for 945,8020 is 1515780.

Thus, GCF of Fractions is 13/1515780.Finally, GCF of Fractions for 1443/945, 6916/8020 is 13/1515780.