Greatest Common Factor of 5846/436, 5978/9650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5846/436, 5978/9650

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 5846/436,5978/9650

Given fractions are 5846/436,5978/9650

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 5846,5978

Greatest Common Factor of Numerators i.e. GCF of 5846,5978 is 2 .

LCM of Denominators means LCM of 436,9650 as per the given fractions.

LCM of 436,9650 is 2103700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5846,5978

GCF of Fractions 5846/436,5978/9650 is 2/2103700

2 5846, 5978
2923, 2989

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5846,5978 By Matching Biggest Common Factor Method

Greatest Common Factor of 5846,5978 By Matching Biggest Common Factor Method

Factors of 5846

List of positive integer factors of 5846 that divides 5846 without a remainder.

1,2,37,74,79,158,2923,5846

Factors of 5978

List of positive integer factors of 5978 that divides 5978 without a remainder.

1,2,7,14,49,61,98,122,427,854,2989,5978

Greatest Common Factor

We found the factors 5846,5978 . The biggest common factor number is the GCF number.
So the greatest common factor 5846,5978 is 2.

Lets's calculate LCM of 436,9650

2 436, 9650
218, 4825

∴ So the LCM of the given numbers is 2 x 218 x 4825 = 2103700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2103700

Therefore, the GCF of Fractions 5846/436,5978/9650 is 2/2103700

Least Common Multiple of 436,9650 with GCF Formula

Least Common Multiple of 436,9650 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 436,9650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,9650) = 2

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

GCF(436,9650) x common factors =2 x 1 = 2

LCM(436,9650) = ( 436 × 9650 ) / 2

LCM(436,9650) = 4207400 / 2

LCM(436,9650) = 2103700


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 5846/436, 5978/9650

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 5846/436, 5978/9650?

Answer: GCF of Numerators as per given numbers 5846/436, 5978/9650 is

GCF of Numerators i.e. for 5846,5978 is 2

LCM of denominators i.e. for 436,9650 is 2103700.

Thus, GCF of Fractions is 2/2103700.Finally, GCF of Fractions for 5846/436, 5978/9650 is 2/2103700.