Greatest Common Factor of 442/70, 279/26, 561/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/70, 279/26, 561/687

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 442/70,279/26,561/687

Given fractions are 442/70,279/26,561/687

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 442,279,561

Greatest Common Factor of Numerators i.e. GCF of 442,279,561 is 1 .

LCM of Denominators means LCM of 70,26,687 as per the given fractions.

LCM of 70,26,687 is 625170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,279,561

GCF of Fractions 442/70,279/26,561/687 is 1/625170

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

Greatest Common Factor of 442,279,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,279,561 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 442,279,561 . The biggest common factor number is the GCF number.
So the greatest common factor 442,279,561 is 1.

Lets's calculate LCM of 70,26,687

2 70, 26, 687
35, 13, 687

∴ So the LCM of the given numbers is 2 x 35 x 13 x 687 = 625170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/625170

Therefore, the GCF of Fractions 442/70,279/26,561/687 is 1/625170

Least Common Multiple of 70,26,687 with GCF Formula

Least Common Multiple of 70,26,687 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 70,26,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,26,687) = 1

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

GCF(70,26,687) x common factors =1 x 2 = 2

LCM(70,26,687) = ( 70 × 26 × 687 ) / 2

LCM(70,26,687) = 1250340 / 2

LCM(70,26,687) = 625170


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 442/70, 279/26, 561/687

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 442/70, 279/26, 561/687?

Answer: GCF of Numerators as per given numbers 442/70, 279/26, 561/687 is

GCF of Numerators i.e. for 442,279,561 is 1

LCM of denominators i.e. for 70,26,687 is 625170.

Thus, GCF of Fractions is 1/625170.Finally, GCF of Fractions for 442/70, 279/26, 561/687 is 1/625170.