Greatest Common Factor of 4668/324, 5642/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4668/324, 5642/919

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 4668/324,5642/919

Given fractions are 4668/324,5642/919

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 4668,5642

Greatest Common Factor of Numerators i.e. GCF of 4668,5642 is 2 .

LCM of Denominators means LCM of 324,919 as per the given fractions.

LCM of 324,919 is 297756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4668,5642

GCF of Fractions 4668/324,5642/919 is 2/297756

2 4668, 5642
2334, 2821

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

Greatest Common Factor of 4668,5642 By Matching Biggest Common Factor Method

Greatest Common Factor of 4668,5642 By Matching Biggest Common Factor Method

Factors of 4668

List of positive integer factors of 4668 that divides 4668 without a remainder.

1,2,3,4,6,12,389,778,1167,1556,2334,4668

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors 4668,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 4668,5642 is 2.

Lets's calculate LCM of 324,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 297756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/297756

Therefore, the GCF of Fractions 4668/324,5642/919 is 2/297756

Least Common Multiple of 324,919 with GCF Formula

Least Common Multiple of 324,919 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 324,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,919) = 1

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

GCF(324,919) x common factors =1 x 1 = 1

LCM(324,919) = ( 324 × 919 ) / 1

LCM(324,919) = 297756 / 1

LCM(324,919) = 297756


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 4668/324, 5642/919

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 4668/324, 5642/919?

Answer: GCF of Numerators as per given numbers 4668/324, 5642/919 is

GCF of Numerators i.e. for 4668,5642 is 2

LCM of denominators i.e. for 324,919 is 297756.

Thus, GCF of Fractions is 2/297756.Finally, GCF of Fractions for 4668/324, 5642/919 is 2/297756.