Greatest Common Factor of 80/942, 536/343, 733/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/942, 536/343, 733/721

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 80/942,536/343,733/721

Given fractions are 80/942,536/343,733/721

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 80,536,733

Greatest Common Factor of Numerators i.e. GCF of 80,536,733 is 1 .

LCM of Denominators means LCM of 942,343,721 as per the given fractions.

LCM of 942,343,721 is 33279918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,536,733

GCF of Fractions 80/942,536/343,733/721 is 1/33279918

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 80,536,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,536,733 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Greatest Common Factor

We found the factors 80,536,733 . The biggest common factor number is the GCF number.
So the greatest common factor 80,536,733 is 1.

Lets's calculate LCM of 942,343,721

7 942, 343, 721
942, 49, 103

∴ So the LCM of the given numbers is 7 x 942 x 49 x 103 = 33279918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33279918

Therefore, the GCF of Fractions 80/942,536/343,733/721 is 1/33279918

Least Common Multiple of 942,343,721 with GCF Formula

Least Common Multiple of 942,343,721 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 942,343,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,343,721) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(942,343,721) x common factors =1 x 7 = 7

LCM(942,343,721) = ( 942 × 343 × 721 ) / 7

LCM(942,343,721) = 232959426 / 7

LCM(942,343,721) = 33279918


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 80/942, 536/343, 733/721

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 80/942, 536/343, 733/721?

Answer: GCF of Numerators as per given numbers 80/942, 536/343, 733/721 is

GCF of Numerators i.e. for 80,536,733 is 1

LCM of denominators i.e. for 942,343,721 is 33279918.

Thus, GCF of Fractions is 1/33279918.Finally, GCF of Fractions for 80/942, 536/343, 733/721 is 1/33279918.