Greatest Common Factor of 223/596, 752/928, 642/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 223/596, 752/928, 642/721

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 223/596,752/928,642/721

Given fractions are 223/596,752/928,642/721

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 223,752,642

Greatest Common Factor of Numerators i.e. GCF of 223,752,642 is 1 .

LCM of Denominators means LCM of 596,928,721 as per the given fractions.

LCM of 596,928,721 is 99694112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 223,752,642

GCF of Fractions 223/596,752/928,642/721 is 1/99694112

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

Greatest Common Factor of 223,752,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,752,642 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 223,752,642 . The biggest common factor number is the GCF number.
So the greatest common factor 223,752,642 is 1.

Lets's calculate LCM of 596,928,721

2 596, 928, 721
2 298, 464, 721
149, 232, 721

∴ So the LCM of the given numbers is 2 x 2 x 149 x 232 x 721 = 99694112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99694112

Therefore, the GCF of Fractions 223/596,752/928,642/721 is 1/99694112

Least Common Multiple of 596,928,721 with GCF Formula

Least Common Multiple of 596,928,721 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 596,928,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,928,721) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(596,928,721) x common factors =1 x 4 = 4

LCM(596,928,721) = ( 596 × 928 × 721 ) / 4

LCM(596,928,721) = 398776448 / 4

LCM(596,928,721) = 99694112


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 223/596, 752/928, 642/721

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 223/596, 752/928, 642/721?

Answer: GCF of Numerators as per given numbers 223/596, 752/928, 642/721 is

GCF of Numerators i.e. for 223,752,642 is 1

LCM of denominators i.e. for 596,928,721 is 99694112.

Thus, GCF of Fractions is 1/99694112.Finally, GCF of Fractions for 223/596, 752/928, 642/721 is 1/99694112.