Greatest Common Factor of 667/27, 538/70, 261/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 667/27, 538/70, 261/800

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 667/27,538/70,261/800

Given fractions are 667/27,538/70,261/800

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 667,538,261

Greatest Common Factor of Numerators i.e. GCF of 667,538,261 is 1 .

LCM of Denominators means LCM of 27,70,800 as per the given fractions.

LCM of 27,70,800 is 151200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 667,538,261

GCF of Fractions 667/27,538/70,261/800 is 1/151200

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

Greatest Common Factor of 667,538,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,538,261 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 667,538,261 . The biggest common factor number is the GCF number.
So the greatest common factor 667,538,261 is 1.

Lets's calculate LCM of 27,70,800

2 27, 70, 800
5 27, 35, 400
27, 7, 80

∴ So the LCM of the given numbers is 2 x 5 x 27 x 7 x 80 = 151200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151200

Therefore, the GCF of Fractions 667/27,538/70,261/800 is 1/151200

Least Common Multiple of 27,70,800 with GCF Formula

Least Common Multiple of 27,70,800 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 27,70,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,70,800) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(27,70,800) x common factors =1 x 10 = 10

LCM(27,70,800) = ( 27 × 70 × 800 ) / 10

LCM(27,70,800) = 1512000 / 10

LCM(27,70,800) = 151200


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 667/27, 538/70, 261/800

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 667/27, 538/70, 261/800?

Answer: GCF of Numerators as per given numbers 667/27, 538/70, 261/800 is

GCF of Numerators i.e. for 667,538,261 is 1

LCM of denominators i.e. for 27,70,800 is 151200.

Thus, GCF of Fractions is 1/151200.Finally, GCF of Fractions for 667/27, 538/70, 261/800 is 1/151200.