How to Find GCF of 6331/418, 2457/2365?

GCF of 6331/418, 2457/2365

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 6331/418, 2457/2365 i.e 13/89870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6331/418, 2457/2365.

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 6331/418,2457/2365?

Given fractions are 6331/418,2457/2365

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 6331/418,2457/2365, numerators are 6331,2457

Denominators are 418,2365

The GCF of 6331,2457 is 13 .

LCM of 418,2365 is 89870.

The greatest common factor of 6331/418,2457/2365 = [GCF of 6331,2457]/[LCM of 418,2365]= 13/89870

Therefore, the GCF of 6331/418,2457/2365 is 13/89870.

Greatest Common Factor of 6331,2457

To find the highest common factor of 6331,2457, we have to find the factors of both numbers and list the highest common factor.

The factors of 6331 are 1, 13, 487, 6331

The factors of 2457 are 1, 3, 7, 9, 13, 21, 27, 39, 63, 91, 117, 189, 273, 351, 819, 2457

The HCF of 6331,2457 is 13.

Lets's calculate GCF of 6331,2457

Greatest Common Factor (GCF) of 6331,2457 By Common Division

13	6331, 2457
	487, 189

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6331,2457 By Matching Biggest Common Factor Method

Now, list down the factors of 6331

1,13,487,6331

Now, list down the factors of 2457

1,3,7,9,13,21,27,39,63,91,117,189,273,351,819,2457

Greatest Common Factor

We found the factors 6331,2457 . The biggest common factor number is the GCF number.
So the greatest common factor 6331,2457 is 13.

Lets's calculate LCM of 418,2365

Lowest Common Multiple of 418,2365 using Common Division

11	418, 2365
	38, 215

∴ So the LCM of the given numbers is 11 x 38 x 215 = 89870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/89870

Therefore, the GCF of Fractions 6331/418,2457/2365 is 13/89870

Least Common Multiple of 418,2365 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 418,2365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,2365) = 11

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

GCF(418,2365) x common factors =11 x 1 = 11

LCM(418,2365) = ( 418 × 2365 ) / 11

LCM(418,2365) = 988570 / 11

LCM(418,2365) = 89870

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FAQs on GCF of Fractions of 6331/418, 2457/2365

1. What is the HCF of 6331,2457?

The HCF of 6331,2457 is 13

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 6331/418, 2457/2365?

Answer: GCF of Numerators as per given numbers 6331/418, 2457/2365 is

GCF of Numerators i.e. for 6331,2457 is 13

LCM of denominators i.e. for 418,2365 is 89870.

Thus, GCF of Fractions is 13/89870.Finally, GCF of Fractions for 6331/418, 2457/2365 is 13/89870.