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GCF of 364/70, 481/108

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 364/70, 481/108 i.e 13/3780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/70, 481/108.

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 364/70,481/108?

Given fractions are 364/70,481/108

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 364/70,481/108, numerators are 364,481

Denominators are 70,108

The GCF of 364,481 is 13 .

LCM of 70,108 is 3780.

The greatest common factor of 364/70,481/108 = [GCF of 364,481]/[LCM of 70,108]= 13/3780

Therefore, the GCF of 364/70,481/108 is 13/3780.

Greatest Common Factor of 364,481

To find the highest common factor of 364,481, we have to find the factors of both numbers and list the highest common factor.

The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

The HCF of 364,481 is 13.

Lets's calculate GCF of 364,481

Greatest Common Factor (GCF) of 364,481 By Common Division

13 364, 481
28, 37

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

Greatest Common Factor of 364,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,481 By Matching Biggest Common Factor Method

Now, list down the factors of 364

:

1,2,4,7,13,14,26,28,52,91,182,364

Now, list down the factors of 481

:

1,13,37,481

Greatest Common Factor

We found the factors 364,481 . The biggest common factor number is the GCF number.
So the greatest common factor 364,481 is 13.

Lets's calculate LCM of 70,108

Lowest Common Multiple of 70,108 using Common Division

2 70, 108
35, 54

∴ So the LCM of the given numbers is 2 x 35 x 54 = 3780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3780

Therefore, the GCF of Fractions 364/70,481/108 is 13/3780

Least Common Multiple of 70,108 with GCF Formula

Least Common Multiple of 70,108 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 70,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,108) = 2

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

GCF(70,108) x common factors =2 x 1 = 2

LCM(70,108) = ( 70 × 108 ) / 2

LCM(70,108) = 7560 / 2

LCM(70,108) = 3780


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FAQs on GCF of Fractions of 364/70, 481/108

1. What is the HCF of 364,481?

The HCF of 364,481 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 364/70, 481/108?

Answer: GCF of Numerators as per given numbers 364/70, 481/108 is

GCF of Numerators i.e. for 364,481 is 13

LCM of denominators i.e. for 70,108 is 3780.

Thus, GCF of Fractions is 13/3780.Finally, GCF of Fractions for 364/70, 481/108 is 13/3780.