How to Find GCF of 5154/225, 2531/5921?

GCF of 5154/225, 2531/5921

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 5154/225, 2531/5921 i.e 1/1332225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5154/225, 2531/5921.

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 5154/225,2531/5921?

Given fractions are 5154/225,2531/5921

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 5154/225,2531/5921, numerators are 5154,2531

Denominators are 225,5921

The GCF of 5154,2531 is 1 .

LCM of 225,5921 is 1332225.

The greatest common factor of 5154/225,2531/5921 = [GCF of 5154,2531]/[LCM of 225,5921]= 1/1332225

Therefore, the GCF of 5154/225,2531/5921 is 1/1332225.

Greatest Common Factor of 5154,2531

To find the highest common factor of 5154,2531, we have to find the factors of both numbers and list the highest common factor.

The factors of 5154 are 1, 2, 3, 6, 859, 1718, 2577, 5154

The factors of 2531 are 1, 2531

The HCF of 5154,2531 is 1.

Lets's calculate GCF of 5154,2531

Greatest Common Factor (GCF) of 5154,2531 By Common Division

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

Greatest Common Factor of 5154,2531 By Matching Biggest Common Factor Method

Now, list down the factors of 5154

1,2,3,6,859,1718,2577,5154

Now, list down the factors of 2531

1,2531

Greatest Common Factor

We found the factors 5154,2531 . The biggest common factor number is the GCF number.
So the greatest common factor 5154,2531 is 1.

Lets's calculate LCM of 225,5921

Lowest Common Multiple of 225,5921 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1332225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1332225

Therefore, the GCF of Fractions 5154/225,2531/5921 is 1/1332225

Least Common Multiple of 225,5921 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 225,5921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,5921) = 1

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

GCF(225,5921) x common factors =1 x 1 = 1

LCM(225,5921) = ( 225 × 5921 ) / 1

LCM(225,5921) = 1332225 / 1

LCM(225,5921) = 1332225

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FAQs on GCF of Fractions of 5154/225, 2531/5921

1. What is the HCF of 5154,2531?

The HCF of 5154,2531 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 5154/225, 2531/5921?

Answer: GCF of Numerators as per given numbers 5154/225, 2531/5921 is

GCF of Numerators i.e. for 5154,2531 is 1

LCM of denominators i.e. for 225,5921 is 1332225.

Thus, GCF of Fractions is 1/1332225.Finally, GCF of Fractions for 5154/225, 2531/5921 is 1/1332225.