Greatest Common Factor of 5029/905, 6968/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5029/905, 6968/358

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 5029/905,6968/358

Given fractions are 5029/905,6968/358

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 5029,6968

Greatest Common Factor of Numerators i.e. GCF of 5029,6968 is 1 .

LCM of Denominators means LCM of 905,358 as per the given fractions.

LCM of 905,358 is 323990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5029,6968

GCF of Fractions 5029/905,6968/358 is 1/323990

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

Greatest Common Factor of 5029,6968 By Matching Biggest Common Factor Method

Greatest Common Factor of 5029,6968 By Matching Biggest Common Factor Method

Factors of 5029

List of positive integer factors of 5029 that divides 5029 without a remainder.

1,47,107,5029

Factors of 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968

Greatest Common Factor

We found the factors 5029,6968 . The biggest common factor number is the GCF number.
So the greatest common factor 5029,6968 is 1.

Lets's calculate LCM of 905,358

Given numbers has no common factors except 1. So, there LCM is their product i.e 323990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323990

Therefore, the GCF of Fractions 5029/905,6968/358 is 1/323990

Least Common Multiple of 905,358 with GCF Formula

Least Common Multiple of 905,358 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 905,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,358) = 1

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

GCF(905,358) x common factors =1 x 1 = 1

LCM(905,358) = ( 905 × 358 ) / 1

LCM(905,358) = 323990 / 1

LCM(905,358) = 323990


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 5029/905, 6968/358

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 5029/905, 6968/358?

Answer: GCF of Numerators as per given numbers 5029/905, 6968/358 is

GCF of Numerators i.e. for 5029,6968 is 1

LCM of denominators i.e. for 905,358 is 323990.

Thus, GCF of Fractions is 1/323990.Finally, GCF of Fractions for 5029/905, 6968/358 is 1/323990.