Greatest Common Factor of 15/262, 85/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/262, 85/294

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 15/262,85/294

Given fractions are 15/262,85/294

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 15,85

Greatest Common Factor of Numerators i.e. GCF of 15,85 is 5 .

LCM of Denominators means LCM of 262,294 as per the given fractions.

LCM of 262,294 is 38514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,85

GCF of Fractions 15/262,85/294 is 5/38514

5 15, 85
3, 17

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

Greatest Common Factor of 15,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,85 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors 15,85 . The biggest common factor number is the GCF number.
So the greatest common factor 15,85 is 5.

Lets's calculate LCM of 262,294

2 262, 294
131, 147

∴ So the LCM of the given numbers is 2 x 131 x 147 = 38514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/38514

Therefore, the GCF of Fractions 15/262,85/294 is 5/38514

Least Common Multiple of 262,294 with GCF Formula

Least Common Multiple of 262,294 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 262,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,294) = 2

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

GCF(262,294) x common factors =2 x 1 = 2

LCM(262,294) = ( 262 × 294 ) / 2

LCM(262,294) = 77028 / 2

LCM(262,294) = 38514


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 15/262, 85/294

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 15/262, 85/294?

Answer: GCF of Numerators as per given numbers 15/262, 85/294 is

GCF of Numerators i.e. for 15,85 is 5

LCM of denominators i.e. for 262,294 is 38514.

Thus, GCF of Fractions is 5/38514.Finally, GCF of Fractions for 15/262, 85/294 is 5/38514.