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GCF of 721/486, 2137/686

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 721/486, 2137/686 i.e 1/166698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 721/486, 2137/686.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 721/486,2137/686?

Given fractions are 721/486,2137/686

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 721/486,2137/686, numerators are 721,2137

Denominators are 486,686

The GCF of 721,2137 is 1 .

LCM of 486,686 is 166698.

The greatest common factor of 721/486,2137/686 = [GCF of 721,2137]/[LCM of 486,686]= 1/166698

Therefore, the GCF of 721/486,2137/686 is 1/166698.

Greatest Common Factor of 721,2137

To find the highest common factor of 721,2137, we have to find the factors of both numbers and list the highest common factor.

The factors of 721 are 1, 7, 103, 721

The factors of 2137 are 1, 2137

The HCF of 721,2137 is 1.

Lets's calculate GCF of 721,2137

Greatest Common Factor (GCF) of 721,2137 By Common Division

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

Greatest Common Factor of 721,2137 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,2137 By Matching Biggest Common Factor Method

Now, list down the factors of 721

:

1,7,103,721

Now, list down the factors of 2137

:

1,2137

Greatest Common Factor

We found the factors 721,2137 . The biggest common factor number is the GCF number.
So the greatest common factor 721,2137 is 1.

Lets's calculate LCM of 486,686

Lowest Common Multiple of 486,686 using Common Division

2 486, 686
243, 343

∴ So the LCM of the given numbers is 2 x 243 x 343 = 166698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166698

Therefore, the GCF of Fractions 721/486,2137/686 is 1/166698

Least Common Multiple of 486,686 with GCF Formula

Least Common Multiple of 486,686 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 486,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,686) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(486,686) x common factors =2 x 1 = 2

LCM(486,686) = ( 486 × 686 ) / 2

LCM(486,686) = 333396 / 2

LCM(486,686) = 166698


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FAQs on GCF of Fractions of 721/486, 2137/686

1. What is the HCF of 721,2137?

The HCF of 721,2137 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 721/486, 2137/686?

Answer: GCF of Numerators as per given numbers 721/486, 2137/686 is

GCF of Numerators i.e. for 721,2137 is 1

LCM of denominators i.e. for 486,686 is 166698.

Thus, GCF of Fractions is 1/166698.Finally, GCF of Fractions for 721/486, 2137/686 is 1/166698.