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GCF of 486/72, 137/344

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 486/72, 137/344 i.e 1/3096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 486/72, 137/344.

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 486/72,137/344?

Given fractions are 486/72,137/344

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 486/72,137/344, numerators are 486,137

Denominators are 72,344

The GCF of 486,137 is 1 .

LCM of 72,344 is 3096.

The greatest common factor of 486/72,137/344 = [GCF of 486,137]/[LCM of 72,344]= 1/3096

Therefore, the GCF of 486/72,137/344 is 1/3096.

Greatest Common Factor of 486,137

To find the highest common factor of 486,137, we have to find the factors of both numbers and list the highest common factor.

The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

The factors of 137 are 1, 137

The HCF of 486,137 is 1.

Lets's calculate GCF of 486,137

Greatest Common Factor (GCF) of 486,137 By Common Division

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

Greatest Common Factor of 486,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,137 By Matching Biggest Common Factor Method

Now, list down the factors of 486

:

1,2,3,6,9,18,27,54,81,162,243,486

Now, list down the factors of 137

:

1,137

Greatest Common Factor

We found the factors 486,137 . The biggest common factor number is the GCF number.
So the greatest common factor 486,137 is 1.

Lets's calculate LCM of 72,344

Lowest Common Multiple of 72,344 using Common Division

2 72, 344
2 36, 172
2 18, 86
9, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 43 = 3096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3096

Therefore, the GCF of Fractions 486/72,137/344 is 1/3096

Least Common Multiple of 72,344 with GCF Formula

Least Common Multiple of 72,344 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 72,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,344) = 8

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

GCF(72,344) x common factors =8 x 1 = 8

LCM(72,344) = ( 72 × 344 ) / 8

LCM(72,344) = 24768 / 8

LCM(72,344) = 3096


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FAQs on GCF of Fractions of 486/72, 137/344

1. What is the HCF of 486,137?

The HCF of 486,137 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 486/72, 137/344?

Answer: GCF of Numerators as per given numbers 486/72, 137/344 is

GCF of Numerators i.e. for 486,137 is 1

LCM of denominators i.e. for 72,344 is 3096.

Thus, GCF of Fractions is 1/3096.Finally, GCF of Fractions for 486/72, 137/344 is 1/3096.