How to Find GCF of 254/920, 5131/7017?

GCF of 254/920, 5131/7017

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 254/920, 5131/7017 i.e 1/6455640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/920, 5131/7017.

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 254/920,5131/7017?

Given fractions are 254/920,5131/7017

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 254/920,5131/7017, numerators are 254,5131

Denominators are 920,7017

The GCF of 254,5131 is 1 .

LCM of 920,7017 is 6455640.

The greatest common factor of 254/920,5131/7017 = [GCF of 254,5131]/[LCM of 920,7017]= 1/6455640

Therefore, the GCF of 254/920,5131/7017 is 1/6455640.

Greatest Common Factor of 254,5131

To find the highest common factor of 254,5131, we have to find the factors of both numbers and list the highest common factor.

The factors of 254 are 1, 2, 127, 254

The factors of 5131 are 1, 7, 733, 5131

The HCF of 254,5131 is 1.

Lets's calculate GCF of 254,5131

Greatest Common Factor (GCF) of 254,5131 By Common Division

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

Greatest Common Factor of 254,5131 By Matching Biggest Common Factor Method

Now, list down the factors of 254

1,2,127,254

Now, list down the factors of 5131

1,7,733,5131

Greatest Common Factor

We found the factors 254,5131 . The biggest common factor number is the GCF number.
So the greatest common factor 254,5131 is 1.

Lets's calculate LCM of 920,7017

Lowest Common Multiple of 920,7017 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6455640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6455640

Therefore, the GCF of Fractions 254/920,5131/7017 is 1/6455640

Least Common Multiple of 920,7017 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 920,7017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,7017) = 1

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

GCF(920,7017) x common factors =1 x 1 = 1

LCM(920,7017) = ( 920 × 7017 ) / 1

LCM(920,7017) = 6455640 / 1

LCM(920,7017) = 6455640

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FAQs on GCF of Fractions of 254/920, 5131/7017

1. What is the HCF of 254,5131?

The HCF of 254,5131 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 254/920, 5131/7017?

Answer: GCF of Numerators as per given numbers 254/920, 5131/7017 is

GCF of Numerators i.e. for 254,5131 is 1

LCM of denominators i.e. for 920,7017 is 6455640.

Thus, GCF of Fractions is 1/6455640.Finally, GCF of Fractions for 254/920, 5131/7017 is 1/6455640.