Greatest Common Factor of 7415/674, 8258/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7415/674, 8258/188

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 7415/674,8258/188

Given fractions are 7415/674,8258/188

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 7415,8258

Greatest Common Factor of Numerators i.e. GCF of 7415,8258 is 1 .

LCM of Denominators means LCM of 674,188 as per the given fractions.

LCM of 674,188 is 63356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7415,8258

GCF of Fractions 7415/674,8258/188 is 1/63356

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

Greatest Common Factor of 7415,8258 By Matching Biggest Common Factor Method

Greatest Common Factor of 7415,8258 By Matching Biggest Common Factor Method

Factors of 7415

List of positive integer factors of 7415 that divides 7415 without a remainder.

1,5,1483,7415

Factors of 8258

List of positive integer factors of 8258 that divides 8258 without a remainder.

1,2,4129,8258

Greatest Common Factor

We found the factors 7415,8258 . The biggest common factor number is the GCF number.
So the greatest common factor 7415,8258 is 1.

Lets's calculate LCM of 674,188

2 674, 188
337, 94

∴ So the LCM of the given numbers is 2 x 337 x 94 = 63356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63356

Therefore, the GCF of Fractions 7415/674,8258/188 is 1/63356

Least Common Multiple of 674,188 with GCF Formula

Least Common Multiple of 674,188 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 674,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,188) = 2

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

GCF(674,188) x common factors =2 x 1 = 2

LCM(674,188) = ( 674 × 188 ) / 2

LCM(674,188) = 126712 / 2

LCM(674,188) = 63356


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 7415/674, 8258/188

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 7415/674, 8258/188?

Answer: GCF of Numerators as per given numbers 7415/674, 8258/188 is

GCF of Numerators i.e. for 7415,8258 is 1

LCM of denominators i.e. for 674,188 is 63356.

Thus, GCF of Fractions is 1/63356.Finally, GCF of Fractions for 7415/674, 8258/188 is 1/63356.