How to Find GCF of 516/938, 5923/5756?

GCF of 516/938, 5923/5756

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 516/938, 5923/5756 i.e 1/2699564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 516/938, 5923/5756.

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 516/938,5923/5756?

Given fractions are 516/938,5923/5756

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 516/938,5923/5756, numerators are 516,5923

Denominators are 938,5756

The GCF of 516,5923 is 1 .

LCM of 938,5756 is 2699564.

The greatest common factor of 516/938,5923/5756 = [GCF of 516,5923]/[LCM of 938,5756]= 1/2699564

Therefore, the GCF of 516/938,5923/5756 is 1/2699564.

Greatest Common Factor of 516,5923

To find the highest common factor of 516,5923, we have to find the factors of both numbers and list the highest common factor.

The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

The factors of 5923 are 1, 5923

The HCF of 516,5923 is 1.

Lets's calculate GCF of 516,5923

Greatest Common Factor (GCF) of 516,5923 By Common Division

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

Greatest Common Factor of 516,5923 By Matching Biggest Common Factor Method

Now, list down the factors of 516

1,2,3,4,6,12,43,86,129,172,258,516

Now, list down the factors of 5923

1,5923

Greatest Common Factor

We found the factors 516,5923 . The biggest common factor number is the GCF number.
So the greatest common factor 516,5923 is 1.

Lets's calculate LCM of 938,5756

Lowest Common Multiple of 938,5756 using Common Division

2	938, 5756
	469, 2878

∴ So the LCM of the given numbers is 2 x 469 x 2878 = 2699564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2699564

Therefore, the GCF of Fractions 516/938,5923/5756 is 1/2699564

Least Common Multiple of 938,5756 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 938,5756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,5756) = 2

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

GCF(938,5756) x common factors =2 x 1 = 2

LCM(938,5756) = ( 938 × 5756 ) / 2

LCM(938,5756) = 5399128 / 2

LCM(938,5756) = 2699564

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 516/938, 5923/5756

1. What is the HCF of 516,5923?

The HCF of 516,5923 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 516/938, 5923/5756?

Answer: GCF of Numerators as per given numbers 516/938, 5923/5756 is

GCF of Numerators i.e. for 516,5923 is 1

LCM of denominators i.e. for 938,5756 is 2699564.

Thus, GCF of Fractions is 1/2699564.Finally, GCF of Fractions for 516/938, 5923/5756 is 1/2699564.