How to Find GCF of 2981/768, 1491/3756?

GCF of 2981/768, 1491/3756

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 2981/768, 1491/3756 i.e 1/240384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2981/768, 1491/3756.

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 2981/768,1491/3756?

Given fractions are 2981/768,1491/3756

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 2981/768,1491/3756, numerators are 2981,1491

Denominators are 768,3756

The GCF of 2981,1491 is 1 .

LCM of 768,3756 is 240384.

The greatest common factor of 2981/768,1491/3756 = [GCF of 2981,1491]/[LCM of 768,3756]= 1/240384

Therefore, the GCF of 2981/768,1491/3756 is 1/240384.

Greatest Common Factor of 2981,1491

To find the highest common factor of 2981,1491, we have to find the factors of both numbers and list the highest common factor.

The factors of 2981 are 1, 11, 271, 2981

The factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491

The HCF of 2981,1491 is 1.

Lets's calculate GCF of 2981,1491

Greatest Common Factor (GCF) of 2981,1491 By Common Division

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

Greatest Common Factor of 2981,1491 By Matching Biggest Common Factor Method

Now, list down the factors of 2981

1,11,271,2981

Now, list down the factors of 1491

1,3,7,21,71,213,497,1491

Greatest Common Factor

We found the factors 2981,1491 . The biggest common factor number is the GCF number.
So the greatest common factor 2981,1491 is 1.

Lets's calculate LCM of 768,3756

Lowest Common Multiple of 768,3756 using Common Division

2	768, 3756
2	384, 1878
3	192, 939
	64, 313

∴ So the LCM of the given numbers is 2 x 2 x 3 x 64 x 313 = 240384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240384

Therefore, the GCF of Fractions 2981/768,1491/3756 is 1/240384

Least Common Multiple of 768,3756 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 768,3756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,3756) = 12

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

GCF(768,3756) x common factors =12 x 1 = 12

LCM(768,3756) = ( 768 × 3756 ) / 12

LCM(768,3756) = 2884608 / 12

LCM(768,3756) = 240384

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FAQs on GCF of Fractions of 2981/768, 1491/3756

1. What is the HCF of 2981,1491?

The HCF of 2981,1491 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 2981/768, 1491/3756?

Answer: GCF of Numerators as per given numbers 2981/768, 1491/3756 is

GCF of Numerators i.e. for 2981,1491 is 1

LCM of denominators i.e. for 768,3756 is 240384.

Thus, GCF of Fractions is 1/240384.Finally, GCF of Fractions for 2981/768, 1491/3756 is 1/240384.