Greatest Common Factor of 726/94, 556/76, 987/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/94, 556/76, 987/358

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 726/94,556/76,987/358

Given fractions are 726/94,556/76,987/358

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 726,556,987

Greatest Common Factor of Numerators i.e. GCF of 726,556,987 is 1 .

LCM of Denominators means LCM of 94,76,358 as per the given fractions.

LCM of 94,76,358 is 639388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,556,987

GCF of Fractions 726/94,556/76,987/358 is 1/639388

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

Greatest Common Factor of 726,556,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,556,987 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 726,556,987 . The biggest common factor number is the GCF number.
So the greatest common factor 726,556,987 is 1.

Lets's calculate LCM of 94,76,358

2 94, 76, 358
47, 38, 179

∴ So the LCM of the given numbers is 2 x 47 x 38 x 179 = 639388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/639388

Therefore, the GCF of Fractions 726/94,556/76,987/358 is 1/639388

Least Common Multiple of 94,76,358 with GCF Formula

Least Common Multiple of 94,76,358 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 94,76,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,76,358) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(94,76,358) x common factors =2 x 2 = 4

LCM(94,76,358) = ( 94 × 76 × 358 ) / 4

LCM(94,76,358) = 2557552 / 4

LCM(94,76,358) = 639388


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 726/94, 556/76, 987/358

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 726/94, 556/76, 987/358?

Answer: GCF of Numerators as per given numbers 726/94, 556/76, 987/358 is

GCF of Numerators i.e. for 726,556,987 is 1

LCM of denominators i.e. for 94,76,358 is 639388.

Thus, GCF of Fractions is 1/639388.Finally, GCF of Fractions for 726/94, 556/76, 987/358 is 1/639388.