Greatest Common Factor of 5668/298, 6425/7104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5668/298, 6425/7104

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 5668/298,6425/7104

Given fractions are 5668/298,6425/7104

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 5668,6425

Greatest Common Factor of Numerators i.e. GCF of 5668,6425 is 1 .

LCM of Denominators means LCM of 298,7104 as per the given fractions.

LCM of 298,7104 is 1058496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5668,6425

GCF of Fractions 5668/298,6425/7104 is 1/1058496

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

Greatest Common Factor of 5668,6425 By Matching Biggest Common Factor Method

Greatest Common Factor of 5668,6425 By Matching Biggest Common Factor Method

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1,2,4,13,26,52,109,218,436,1417,2834,5668

Factors of 6425

List of positive integer factors of 6425 that divides 6425 without a remainder.

1,5,25,257,1285,6425

Greatest Common Factor

We found the factors 5668,6425 . The biggest common factor number is the GCF number.
So the greatest common factor 5668,6425 is 1.

Lets's calculate LCM of 298,7104

2 298, 7104
149, 3552

∴ So the LCM of the given numbers is 2 x 149 x 3552 = 1058496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1058496

Therefore, the GCF of Fractions 5668/298,6425/7104 is 1/1058496

Least Common Multiple of 298,7104 with GCF Formula

Least Common Multiple of 298,7104 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 298,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,7104) = 2

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

GCF(298,7104) x common factors =2 x 1 = 2

LCM(298,7104) = ( 298 × 7104 ) / 2

LCM(298,7104) = 2116992 / 2

LCM(298,7104) = 1058496


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 5668/298, 6425/7104

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 5668/298, 6425/7104?

Answer: GCF of Numerators as per given numbers 5668/298, 6425/7104 is

GCF of Numerators i.e. for 5668,6425 is 1

LCM of denominators i.e. for 298,7104 is 1058496.

Thus, GCF of Fractions is 1/1058496.Finally, GCF of Fractions for 5668/298, 6425/7104 is 1/1058496.