Greatest Common Factor of 591/100, 848/399, 208/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 591/100, 848/399, 208/721

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 591/100,848/399,208/721

Given fractions are 591/100,848/399,208/721

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 591,848,208

Greatest Common Factor of Numerators i.e. GCF of 591,848,208 is 1 .

LCM of Denominators means LCM of 100,399,721 as per the given fractions.

LCM of 100,399,721 is 4109700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 591,848,208

GCF of Fractions 591/100,848/399,208/721 is 1/4109700

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

Greatest Common Factor of 591,848,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,848,208 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 591,848,208 . The biggest common factor number is the GCF number.
So the greatest common factor 591,848,208 is 1.

Lets's calculate LCM of 100,399,721

7 100, 399, 721
100, 57, 103

∴ So the LCM of the given numbers is 7 x 100 x 57 x 103 = 4109700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4109700

Therefore, the GCF of Fractions 591/100,848/399,208/721 is 1/4109700

Least Common Multiple of 100,399,721 with GCF Formula

Least Common Multiple of 100,399,721 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 100,399,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,399,721) = 1

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

GCF(100,399,721) x common factors =1 x 7 = 7

LCM(100,399,721) = ( 100 × 399 × 721 ) / 7

LCM(100,399,721) = 28767900 / 7

LCM(100,399,721) = 4109700


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 591/100, 848/399, 208/721

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 591/100, 848/399, 208/721?

Answer: GCF of Numerators as per given numbers 591/100, 848/399, 208/721 is

GCF of Numerators i.e. for 591,848,208 is 1

LCM of denominators i.e. for 100,399,721 is 4109700.

Thus, GCF of Fractions is 1/4109700.Finally, GCF of Fractions for 591/100, 848/399, 208/721 is 1/4109700.