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GCF of 481/978, 546/658

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 481/978, 546/658 i.e 13/321762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/978, 546/658.

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 481/978,546/658?

Given fractions are 481/978,546/658

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 481/978,546/658, numerators are 481,546

Denominators are 978,658

The GCF of 481,546 is 13 .

LCM of 978,658 is 321762.

The greatest common factor of 481/978,546/658 = [GCF of 481,546]/[LCM of 978,658]= 13/321762

Therefore, the GCF of 481/978,546/658 is 13/321762.

Greatest Common Factor of 481,546

To find the highest common factor of 481,546, we have to find the factors of both numbers and list the highest common factor.

The factors of 481 are 1, 13, 37, 481

The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

The HCF of 481,546 is 13.

Lets's calculate GCF of 481,546

Greatest Common Factor (GCF) of 481,546 By Common Division

13 481, 546
37, 42

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 481,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,546 By Matching Biggest Common Factor Method

Now, list down the factors of 481

:

1,13,37,481

Now, list down the factors of 546

:

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 481,546 . The biggest common factor number is the GCF number.
So the greatest common factor 481,546 is 13.

Lets's calculate LCM of 978,658

Lowest Common Multiple of 978,658 using Common Division

2 978, 658
489, 329

∴ So the LCM of the given numbers is 2 x 489 x 329 = 321762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/321762

Therefore, the GCF of Fractions 481/978,546/658 is 13/321762

Least Common Multiple of 978,658 with GCF Formula

Least Common Multiple of 978,658 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 978,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,658) = 2

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

GCF(978,658) x common factors =2 x 1 = 2

LCM(978,658) = ( 978 × 658 ) / 2

LCM(978,658) = 643524 / 2

LCM(978,658) = 321762


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FAQs on GCF of Fractions of 481/978, 546/658

1. What is the HCF of 481,546?

The HCF of 481,546 is 13

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 481/978, 546/658?

Answer: GCF of Numerators as per given numbers 481/978, 546/658 is

GCF of Numerators i.e. for 481,546 is 13

LCM of denominators i.e. for 978,658 is 321762.

Thus, GCF of Fractions is 13/321762.Finally, GCF of Fractions for 481/978, 546/658 is 13/321762.