Greatest Common Factor of 7412/475, 7451/6309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7412/475, 7451/6309

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 7412/475,7451/6309

Given fractions are 7412/475,7451/6309

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 7412,7451

Greatest Common Factor of Numerators i.e. GCF of 7412,7451 is 1 .

LCM of Denominators means LCM of 475,6309 as per the given fractions.

LCM of 475,6309 is 2996775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7412,7451

GCF of Fractions 7412/475,7451/6309 is 1/2996775

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

Greatest Common Factor of 7412,7451 By Matching Biggest Common Factor Method

Greatest Common Factor of 7412,7451 By Matching Biggest Common Factor Method

Factors of 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1,2,4,17,34,68,109,218,436,1853,3706,7412

Factors of 7451

List of positive integer factors of 7451 that divides 7451 without a remainder.

1,7451

Greatest Common Factor

We found the factors 7412,7451 . The biggest common factor number is the GCF number.
So the greatest common factor 7412,7451 is 1.

Lets's calculate LCM of 475,6309

Given numbers has no common factors except 1. So, there LCM is their product i.e 2996775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2996775

Therefore, the GCF of Fractions 7412/475,7451/6309 is 1/2996775

Least Common Multiple of 475,6309 with GCF Formula

Least Common Multiple of 475,6309 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 475,6309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,6309) = 1

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

GCF(475,6309) x common factors =1 x 1 = 1

LCM(475,6309) = ( 475 × 6309 ) / 1

LCM(475,6309) = 2996775 / 1

LCM(475,6309) = 2996775


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 7412/475, 7451/6309

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 7412/475, 7451/6309?

Answer: GCF of Numerators as per given numbers 7412/475, 7451/6309 is

GCF of Numerators i.e. for 7412,7451 is 1

LCM of denominators i.e. for 475,6309 is 2996775.

Thus, GCF of Fractions is 1/2996775.Finally, GCF of Fractions for 7412/475, 7451/6309 is 1/2996775.