Greatest Common Factor of 68/52, 80/71, 501/881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/52, 80/71, 501/881

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 68/52,80/71,501/881

Given fractions are 68/52,80/71,501/881

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 68,80,501

Greatest Common Factor of Numerators i.e. GCF of 68,80,501 is 1 .

LCM of Denominators means LCM of 52,71,881 as per the given fractions.

LCM of 52,71,881 is 3252652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,80,501

GCF of Fractions 68/52,80/71,501/881 is 1/3252652

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

Greatest Common Factor of 68,80,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,80,501 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

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 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 68,80,501 . The biggest common factor number is the GCF number.
So the greatest common factor 68,80,501 is 1.

Lets's calculate LCM of 52,71,881

Given numbers has no common factors except 1. So, there LCM is their product i.e 3252652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3252652

Therefore, the GCF of Fractions 68/52,80/71,501/881 is 1/3252652

Least Common Multiple of 52,71,881 with GCF Formula

Least Common Multiple of 52,71,881 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 52,71,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,71,881) = 1

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

GCF(52,71,881) x common factors =1 x 1 = 1

LCM(52,71,881) = ( 52 × 71 × 881 ) / 1

LCM(52,71,881) = 3252652 / 1

LCM(52,71,881) = 3252652


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 68/52, 80/71, 501/881

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 68/52, 80/71, 501/881?

Answer: GCF of Numerators as per given numbers 68/52, 80/71, 501/881 is

GCF of Numerators i.e. for 68,80,501 is 1

LCM of denominators i.e. for 52,71,881 is 3252652.

Thus, GCF of Fractions is 1/3252652.Finally, GCF of Fractions for 68/52, 80/71, 501/881 is 1/3252652.