How to Find GCF of 2527/231, 9323/5771?

GCF of 2527/231, 9323/5771

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 2527/231, 9323/5771 i.e 1/1333101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2527/231, 9323/5771.

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 2527/231,9323/5771?

Given fractions are 2527/231,9323/5771

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 2527/231,9323/5771, numerators are 2527,9323

Denominators are 231,5771

The GCF of 2527,9323 is 1 .

LCM of 231,5771 is 1333101.

The greatest common factor of 2527/231,9323/5771 = [GCF of 2527,9323]/[LCM of 231,5771]= 1/1333101

Therefore, the GCF of 2527/231,9323/5771 is 1/1333101.

Greatest Common Factor of 2527,9323

To find the highest common factor of 2527,9323, we have to find the factors of both numbers and list the highest common factor.

The factors of 2527 are 1, 7, 19, 133, 361, 2527

The factors of 9323 are 1, 9323

The HCF of 2527,9323 is 1.

Lets's calculate GCF of 2527,9323

Greatest Common Factor (GCF) of 2527,9323 By Common Division

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

Greatest Common Factor of 2527,9323 By Matching Biggest Common Factor Method

Now, list down the factors of 2527

1,7,19,133,361,2527

Now, list down the factors of 9323

1,9323

Greatest Common Factor

We found the factors 2527,9323 . The biggest common factor number is the GCF number.
So the greatest common factor 2527,9323 is 1.

Lets's calculate LCM of 231,5771

Lowest Common Multiple of 231,5771 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1333101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1333101

Therefore, the GCF of Fractions 2527/231,9323/5771 is 1/1333101

Least Common Multiple of 231,5771 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 231,5771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,5771) = 1

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

GCF(231,5771) x common factors =1 x 1 = 1

LCM(231,5771) = ( 231 × 5771 ) / 1

LCM(231,5771) = 1333101 / 1

LCM(231,5771) = 1333101

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FAQs on GCF of Fractions of 2527/231, 9323/5771

1. What is the HCF of 2527,9323?

The HCF of 2527,9323 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 2527/231, 9323/5771?

Answer: GCF of Numerators as per given numbers 2527/231, 9323/5771 is

GCF of Numerators i.e. for 2527,9323 is 1

LCM of denominators i.e. for 231,5771 is 1333101.

Thus, GCF of Fractions is 1/1333101.Finally, GCF of Fractions for 2527/231, 9323/5771 is 1/1333101.