Greatest Common Factor of 5704/24, 3130/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5704/24, 3130/421

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 5704/24,3130/421

Given fractions are 5704/24,3130/421

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 5704,3130

Greatest Common Factor of Numerators i.e. GCF of 5704,3130 is 2 .

LCM of Denominators means LCM of 24,421 as per the given fractions.

LCM of 24,421 is 10104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5704,3130

GCF of Fractions 5704/24,3130/421 is 2/10104

2 5704, 3130
2852, 1565

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

Greatest Common Factor of 5704,3130 By Matching Biggest Common Factor Method

Greatest Common Factor of 5704,3130 By Matching Biggest Common Factor Method

Factors of 5704

List of positive integer factors of 5704 that divides 5704 without a remainder.

1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704

Factors of 3130

List of positive integer factors of 3130 that divides 3130 without a remainder.

1,2,5,10,313,626,1565,3130

Greatest Common Factor

We found the factors 5704,3130 . The biggest common factor number is the GCF number.
So the greatest common factor 5704,3130 is 2.

Lets's calculate LCM of 24,421

Given numbers has no common factors except 1. So, there LCM is their product i.e 10104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10104

Therefore, the GCF of Fractions 5704/24,3130/421 is 2/10104

Least Common Multiple of 24,421 with GCF Formula

Least Common Multiple of 24,421 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 24,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,421) = 1

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

GCF(24,421) x common factors =1 x 1 = 1

LCM(24,421) = ( 24 × 421 ) / 1

LCM(24,421) = 10104 / 1

LCM(24,421) = 10104


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 5704/24, 3130/421

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 5704/24, 3130/421?

Answer: GCF of Numerators as per given numbers 5704/24, 3130/421 is

GCF of Numerators i.e. for 5704,3130 is 2

LCM of denominators i.e. for 24,421 is 10104.

Thus, GCF of Fractions is 2/10104.Finally, GCF of Fractions for 5704/24, 3130/421 is 2/10104.