How to Find GCF of 4937/404, 6739/2564?

GCF of 4937/404, 6739/2564

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 4937/404, 6739/2564 i.e 1/258964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4937/404, 6739/2564.

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 4937/404,6739/2564?

Given fractions are 4937/404,6739/2564

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 4937/404,6739/2564, numerators are 4937,6739

Denominators are 404,2564

The GCF of 4937,6739 is 1 .

LCM of 404,2564 is 258964.

The greatest common factor of 4937/404,6739/2564 = [GCF of 4937,6739]/[LCM of 404,2564]= 1/258964

Therefore, the GCF of 4937/404,6739/2564 is 1/258964.

Greatest Common Factor of 4937,6739

To find the highest common factor of 4937,6739, we have to find the factors of both numbers and list the highest common factor.

The factors of 4937 are 1, 4937

The factors of 6739 are 1, 23, 293, 6739

The HCF of 4937,6739 is 1.

Lets's calculate GCF of 4937,6739

Greatest Common Factor (GCF) of 4937,6739 By Common Division

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

Greatest Common Factor of 4937,6739 By Matching Biggest Common Factor Method

Now, list down the factors of 4937

1,4937

Now, list down the factors of 6739

1,23,293,6739

Greatest Common Factor

We found the factors 4937,6739 . The biggest common factor number is the GCF number.
So the greatest common factor 4937,6739 is 1.

Lets's calculate LCM of 404,2564

Lowest Common Multiple of 404,2564 using Common Division

2	404, 2564
2	202, 1282
	101, 641

∴ So the LCM of the given numbers is 2 x 2 x 101 x 641 = 258964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258964

Therefore, the GCF of Fractions 4937/404,6739/2564 is 1/258964

Least Common Multiple of 404,2564 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 404,2564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,2564) = 4

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

GCF(404,2564) x common factors =4 x 1 = 4

LCM(404,2564) = ( 404 × 2564 ) / 4

LCM(404,2564) = 1035856 / 4

LCM(404,2564) = 258964

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FAQs on GCF of Fractions of 4937/404, 6739/2564

1. What is the HCF of 4937,6739?

The HCF of 4937,6739 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 4937/404, 6739/2564?

Answer: GCF of Numerators as per given numbers 4937/404, 6739/2564 is

GCF of Numerators i.e. for 4937,6739 is 1

LCM of denominators i.e. for 404,2564 is 258964.

Thus, GCF of Fractions is 1/258964.Finally, GCF of Fractions for 4937/404, 6739/2564 is 1/258964.