Greatest Common Factor of 13/85, 69/30, 99/17, 71/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/85, 69/30, 99/17, 71/154

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 13/85,69/30,99/17,71/154

Given fractions are 13/85,69/30,99/17,71/154

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 13,69,99,71

Greatest Common Factor of Numerators i.e. GCF of 13,69,99,71 is 1 .

LCM of Denominators means LCM of 85,30,17,154 as per the given fractions.

LCM of 85,30,17,154 is 39270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,69,99,71

GCF of Fractions 13/85,69/30,99/17,71/154 is 1/39270

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

Greatest Common Factor of 13,69,99,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,69,99,71 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 13,69,99,71 . The biggest common factor number is the GCF number.
So the greatest common factor 13,69,99,71 is 1.

Lets's calculate LCM of 85,30,17,154

2 85, 30, 17, 154
5 85, 15, 17, 77
17 17, 3, 17, 77
1, 3, 1, 77

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 3 x 1 x 77 = 39270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39270

Therefore, the GCF of Fractions 13/85,69/30,99/17,71/154 is 1/39270

Least Common Multiple of 85,30,17,154 with GCF Formula

Least Common Multiple of 85,30,17,154 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 85,30,17,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,30,17,154) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(85,30,17,154) x common factors =1 x 170 = 170

LCM(85,30,17,154) = ( 85 × 30 × 17 × 154 ) / 170

LCM(85,30,17,154) = 6675900 / 170

LCM(85,30,17,154) = 39270


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 13/85, 69/30, 99/17, 71/154

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 13/85, 69/30, 99/17, 71/154?

Answer: GCF of Numerators as per given numbers 13/85, 69/30, 99/17, 71/154 is

GCF of Numerators i.e. for 13,69,99,71 is 1

LCM of denominators i.e. for 85,30,17,154 is 39270.

Thus, GCF of Fractions is 1/39270.Finally, GCF of Fractions for 13/85, 69/30, 99/17, 71/154 is 1/39270.