Greatest Common Factor of 17/86, 91/78, 38/52, 98/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/86, 91/78, 38/52, 98/40

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 17/86,91/78,38/52,98/40

Given fractions are 17/86,91/78,38/52,98/40

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 17,91,38,98

Greatest Common Factor of Numerators i.e. GCF of 17,91,38,98 is 1 .

LCM of Denominators means LCM of 86,78,52,40 as per the given fractions.

LCM of 86,78,52,40 is 67080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,91,38,98

GCF of Fractions 17/86,91/78,38/52,98/40 is 1/67080

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

Greatest Common Factor of 17,91,38,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,91,38,98 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 17,91,38,98 . The biggest common factor number is the GCF number.
So the greatest common factor 17,91,38,98 is 1.

Lets's calculate LCM of 86,78,52,40

2 86, 78, 52, 40
2 43, 39, 26, 20
13 43, 39, 13, 10
43, 3, 1, 10

∴ So the LCM of the given numbers is 2 x 2 x 13 x 43 x 3 x 1 x 10 = 67080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67080

Therefore, the GCF of Fractions 17/86,91/78,38/52,98/40 is 1/67080

Least Common Multiple of 86,78,52,40 with GCF Formula

Least Common Multiple of 86,78,52,40 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 86,78,52,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,78,52,40) = 2

common factors(in case of two or more numbers have common factors) = 104

GCF(86,78,52,40) x common factors =2 x 104 = 208

LCM(86,78,52,40) = ( 86 × 78 × 52 × 40 ) / 208

LCM(86,78,52,40) = 13952640 / 208

LCM(86,78,52,40) = 67080


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 17/86, 91/78, 38/52, 98/40

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 17/86, 91/78, 38/52, 98/40?

Answer: GCF of Numerators as per given numbers 17/86, 91/78, 38/52, 98/40 is

GCF of Numerators i.e. for 17,91,38,98 is 1

LCM of denominators i.e. for 86,78,52,40 is 67080.

Thus, GCF of Fractions is 1/67080.Finally, GCF of Fractions for 17/86, 91/78, 38/52, 98/40 is 1/67080.