How to Find GCF of 618/114, 8521/131?

GCF of 618/114, 8521/131

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 618/114, 8521/131 i.e 1/14934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/114, 8521/131.

Enter two or more fractions separated by "commas"

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

What is the GCF of 618/114,8521/131?

Given fractions are 618/114,8521/131

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 618/114,8521/131, numerators are 618,8521

Denominators are 114,131

The GCF of 618,8521 is 1 .

LCM of 114,131 is 14934.

The greatest common factor of 618/114,8521/131 = [GCF of 618,8521]/[LCM of 114,131]= 1/14934

Therefore, the GCF of 618/114,8521/131 is 1/14934.

Greatest Common Factor of 618,8521

To find the highest common factor of 618,8521, we have to find the factors of both numbers and list the highest common factor.

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The factors of 8521 are 1, 8521

The HCF of 618,8521 is 1.

Lets's calculate GCF of 618,8521

Greatest Common Factor (GCF) of 618,8521 By Common Division

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

Greatest Common Factor of 618,8521 By Matching Biggest Common Factor Method

Now, list down the factors of 618

1,2,3,6,103,206,309,618

Now, list down the factors of 8521

1,8521

Greatest Common Factor

We found the factors 618,8521 . The biggest common factor number is the GCF number.
So the greatest common factor 618,8521 is 1.

Lets's calculate LCM of 114,131

Lowest Common Multiple of 114,131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14934

Therefore, the GCF of Fractions 618/114,8521/131 is 1/14934

Least Common Multiple of 114,131 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 114,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,131) = 1

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

GCF(114,131) x common factors =1 x 1 = 1

LCM(114,131) = ( 114 × 131 ) / 1

LCM(114,131) = 14934 / 1

LCM(114,131) = 14934

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FAQs on GCF of Fractions of 618/114, 8521/131

1. What is the HCF of 618,8521?

The HCF of 618,8521 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 618/114, 8521/131?

Answer: GCF of Numerators as per given numbers 618/114, 8521/131 is

GCF of Numerators i.e. for 618,8521 is 1

LCM of denominators i.e. for 114,131 is 14934.

Thus, GCF of Fractions is 1/14934.Finally, GCF of Fractions for 618/114, 8521/131 is 1/14934.