How to Find GCF of 2941/510, 9412/452?

GCF of 2941/510, 9412/452

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 2941/510, 9412/452 i.e 1/115260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2941/510, 9412/452.

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 2941/510,9412/452?

Given fractions are 2941/510,9412/452

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 2941/510,9412/452, numerators are 2941,9412

Denominators are 510,452

The GCF of 2941,9412 is 1 .

LCM of 510,452 is 115260.

The greatest common factor of 2941/510,9412/452 = [GCF of 2941,9412]/[LCM of 510,452]= 1/115260

Therefore, the GCF of 2941/510,9412/452 is 1/115260.

Greatest Common Factor of 2941,9412

To find the highest common factor of 2941,9412, we have to find the factors of both numbers and list the highest common factor.

The factors of 2941 are 1, 17, 173, 2941

The factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412

The HCF of 2941,9412 is 1.

Lets's calculate GCF of 2941,9412

Greatest Common Factor (GCF) of 2941,9412 By Common Division

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

Greatest Common Factor of 2941,9412 By Matching Biggest Common Factor Method

Now, list down the factors of 2941

1,17,173,2941

Now, list down the factors of 9412

1,2,4,13,26,52,181,362,724,2353,4706,9412

Greatest Common Factor

We found the factors 2941,9412 . The biggest common factor number is the GCF number.
So the greatest common factor 2941,9412 is 1.

Lets's calculate LCM of 510,452

Lowest Common Multiple of 510,452 using Common Division

2	510, 452
	255, 226

∴ So the LCM of the given numbers is 2 x 255 x 226 = 115260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115260

Therefore, the GCF of Fractions 2941/510,9412/452 is 1/115260

Least Common Multiple of 510,452 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 510,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,452) = 2

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

GCF(510,452) x common factors =2 x 1 = 2

LCM(510,452) = ( 510 × 452 ) / 2

LCM(510,452) = 230520 / 2

LCM(510,452) = 115260

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FAQs on GCF of Fractions of 2941/510, 9412/452

1. What is the HCF of 2941,9412?

The HCF of 2941,9412 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 2941/510, 9412/452?

Answer: GCF of Numerators as per given numbers 2941/510, 9412/452 is

GCF of Numerators i.e. for 2941,9412 is 1

LCM of denominators i.e. for 510,452 is 115260.

Thus, GCF of Fractions is 1/115260.Finally, GCF of Fractions for 2941/510, 9412/452 is 1/115260.