How to Find GCF of 2877/931, 9481/2372?

GCF of 2877/931, 9481/2372

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 2877/931, 9481/2372 i.e 1/2208332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2877/931, 9481/2372.

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 2877/931,9481/2372?

Given fractions are 2877/931,9481/2372

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 2877/931,9481/2372, numerators are 2877,9481

Denominators are 931,2372

The GCF of 2877,9481 is 1 .

LCM of 931,2372 is 2208332.

The greatest common factor of 2877/931,9481/2372 = [GCF of 2877,9481]/[LCM of 931,2372]= 1/2208332

Therefore, the GCF of 2877/931,9481/2372 is 1/2208332.

Greatest Common Factor of 2877,9481

To find the highest common factor of 2877,9481, we have to find the factors of both numbers and list the highest common factor.

The factors of 2877 are 1, 3, 7, 21, 137, 411, 959, 2877

The factors of 9481 are 1, 19, 499, 9481

The HCF of 2877,9481 is 1.

Lets's calculate GCF of 2877,9481

Greatest Common Factor (GCF) of 2877,9481 By Common Division

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

Greatest Common Factor of 2877,9481 By Matching Biggest Common Factor Method

Now, list down the factors of 2877

1,3,7,21,137,411,959,2877

Now, list down the factors of 9481

1,19,499,9481

Greatest Common Factor

We found the factors 2877,9481 . The biggest common factor number is the GCF number.
So the greatest common factor 2877,9481 is 1.

Lets's calculate LCM of 931,2372

Lowest Common Multiple of 931,2372 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2208332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2208332

Therefore, the GCF of Fractions 2877/931,9481/2372 is 1/2208332

Least Common Multiple of 931,2372 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 931,2372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,2372) = 1

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

GCF(931,2372) x common factors =1 x 1 = 1

LCM(931,2372) = ( 931 × 2372 ) / 1

LCM(931,2372) = 2208332 / 1

LCM(931,2372) = 2208332

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FAQs on GCF of Fractions of 2877/931, 9481/2372

1. What is the HCF of 2877,9481?

The HCF of 2877,9481 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 2877/931, 9481/2372?

Answer: GCF of Numerators as per given numbers 2877/931, 9481/2372 is

GCF of Numerators i.e. for 2877,9481 is 1

LCM of denominators i.e. for 931,2372 is 2208332.

Thus, GCF of Fractions is 1/2208332.Finally, GCF of Fractions for 2877/931, 9481/2372 is 1/2208332.