Greatest Common Factor of 721/36, 608/51, 881/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/36, 608/51, 881/115

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 721/36,608/51,881/115

Given fractions are 721/36,608/51,881/115

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 721,608,881

Greatest Common Factor of Numerators i.e. GCF of 721,608,881 is 1 .

LCM of Denominators means LCM of 36,51,115 as per the given fractions.

LCM of 36,51,115 is 70380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,608,881

GCF of Fractions 721/36,608/51,881/115 is 1/70380

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

Greatest Common Factor of 721,608,881 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,608,881 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Greatest Common Factor

We found the factors 721,608,881 . The biggest common factor number is the GCF number.
So the greatest common factor 721,608,881 is 1.

Lets's calculate LCM of 36,51,115

3 36, 51, 115
12, 17, 115

∴ So the LCM of the given numbers is 3 x 12 x 17 x 115 = 70380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70380

Therefore, the GCF of Fractions 721/36,608/51,881/115 is 1/70380

Least Common Multiple of 36,51,115 with GCF Formula

Least Common Multiple of 36,51,115 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 36,51,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,51,115) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(36,51,115) x common factors =1 x 3 = 3

LCM(36,51,115) = ( 36 × 51 × 115 ) / 3

LCM(36,51,115) = 211140 / 3

LCM(36,51,115) = 70380


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 721/36, 608/51, 881/115

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 721/36, 608/51, 881/115?

Answer: GCF of Numerators as per given numbers 721/36, 608/51, 881/115 is

GCF of Numerators i.e. for 721,608,881 is 1

LCM of denominators i.e. for 36,51,115 is 70380.

Thus, GCF of Fractions is 1/70380.Finally, GCF of Fractions for 721/36, 608/51, 881/115 is 1/70380.