Greatest Common Factor of 8385/146, 7415/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8385/146, 7415/294

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 8385/146,7415/294

Given fractions are 8385/146,7415/294

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 8385,7415

Greatest Common Factor of Numerators i.e. GCF of 8385,7415 is 5 .

LCM of Denominators means LCM of 146,294 as per the given fractions.

LCM of 146,294 is 21462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8385,7415

GCF of Fractions 8385/146,7415/294 is 5/21462

5 8385, 7415
1677, 1483

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8385,7415 By Matching Biggest Common Factor Method

Greatest Common Factor of 8385,7415 By Matching Biggest Common Factor Method

Factors of 8385

List of positive integer factors of 8385 that divides 8385 without a remainder.

1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385

Factors of 7415

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

1,5,1483,7415

Greatest Common Factor

We found the factors 8385,7415 . The biggest common factor number is the GCF number.
So the greatest common factor 8385,7415 is 5.

Lets's calculate LCM of 146,294

2 146, 294
73, 147

∴ So the LCM of the given numbers is 2 x 73 x 147 = 21462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/21462

Therefore, the GCF of Fractions 8385/146,7415/294 is 5/21462

Least Common Multiple of 146,294 with GCF Formula

Least Common Multiple of 146,294 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 146,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,294) = 2

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

GCF(146,294) x common factors =2 x 1 = 2

LCM(146,294) = ( 146 × 294 ) / 2

LCM(146,294) = 42924 / 2

LCM(146,294) = 21462


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 8385/146, 7415/294

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 8385/146, 7415/294?

Answer: GCF of Numerators as per given numbers 8385/146, 7415/294 is

GCF of Numerators i.e. for 8385,7415 is 5

LCM of denominators i.e. for 146,294 is 21462.

Thus, GCF of Fractions is 5/21462.Finally, GCF of Fractions for 8385/146, 7415/294 is 5/21462.