Greatest Common Factor of 5929/28, 5854/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5929/28, 5854/962

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5929/28,5854/962

Given fractions are 5929/28,5854/962

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5929,5854

Greatest Common Factor of Numerators i.e. GCF of 5929,5854 is 1 .

LCM of Denominators means LCM of 28,962 as per the given fractions.

LCM of 28,962 is 13468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5929,5854

GCF of Fractions 5929/28,5854/962 is 1/13468

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

Greatest Common Factor of 5929,5854 By Matching Biggest Common Factor Method

Greatest Common Factor of 5929,5854 By Matching Biggest Common Factor Method

Factors of 5929

List of positive integer factors of 5929 that divides 5929 without a remainder.

1,7,11,49,77,121,539,847,5929

Factors of 5854

List of positive integer factors of 5854 that divides 5854 without a remainder.

1,2,2927,5854

Greatest Common Factor

We found the factors 5929,5854 . The biggest common factor number is the GCF number.
So the greatest common factor 5929,5854 is 1.

Lets's calculate LCM of 28,962

2 28, 962
14, 481

∴ So the LCM of the given numbers is 2 x 14 x 481 = 13468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13468

Therefore, the GCF of Fractions 5929/28,5854/962 is 1/13468

Least Common Multiple of 28,962 with GCF Formula

Least Common Multiple of 28,962 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,962) = 2

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

GCF(28,962) x common factors =2 x 1 = 2

LCM(28,962) = ( 28 × 962 ) / 2

LCM(28,962) = 26936 / 2

LCM(28,962) = 13468


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5929/28, 5854/962

1. 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.

2. What is the GCF of Fractions for 5929/28, 5854/962?

Answer: GCF of Numerators as per given numbers 5929/28, 5854/962 is

GCF of Numerators i.e. for 5929,5854 is 1

LCM of denominators i.e. for 28,962 is 13468.

Thus, GCF of Fractions is 1/13468.Finally, GCF of Fractions for 5929/28, 5854/962 is 1/13468.