Greatest Common Factor of 7037/493, 2328/5412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7037/493, 2328/5412

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 7037/493,2328/5412

Given fractions are 7037/493,2328/5412

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 7037,2328

Greatest Common Factor of Numerators i.e. GCF of 7037,2328 is 1 .

LCM of Denominators means LCM of 493,5412 as per the given fractions.

LCM of 493,5412 is 2668116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7037,2328

GCF of Fractions 7037/493,2328/5412 is 1/2668116

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

Greatest Common Factor of 7037,2328 By Matching Biggest Common Factor Method

Greatest Common Factor of 7037,2328 By Matching Biggest Common Factor Method

Factors of 7037

List of positive integer factors of 7037 that divides 7037 without a remainder.

1,31,227,7037

Factors of 2328

List of positive integer factors of 2328 that divides 2328 without a remainder.

1,2,3,4,6,8,12,24,97,194,291,388,582,776,1164,2328

Greatest Common Factor

We found the factors 7037,2328 . The biggest common factor number is the GCF number.
So the greatest common factor 7037,2328 is 1.

Lets's calculate LCM of 493,5412

Given numbers has no common factors except 1. So, there LCM is their product i.e 2668116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2668116

Therefore, the GCF of Fractions 7037/493,2328/5412 is 1/2668116

Least Common Multiple of 493,5412 with GCF Formula

Least Common Multiple of 493,5412 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 493,5412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,5412) = 1

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

GCF(493,5412) x common factors =1 x 1 = 1

LCM(493,5412) = ( 493 × 5412 ) / 1

LCM(493,5412) = 2668116 / 1

LCM(493,5412) = 2668116


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 7037/493, 2328/5412

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 7037/493, 2328/5412?

Answer: GCF of Numerators as per given numbers 7037/493, 2328/5412 is

GCF of Numerators i.e. for 7037,2328 is 1

LCM of denominators i.e. for 493,5412 is 2668116.

Thus, GCF of Fractions is 1/2668116.Finally, GCF of Fractions for 7037/493, 2328/5412 is 1/2668116.