Greatest Common Factor of 11/68, 88/78, 98/39, 98/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/68, 88/78, 98/39, 98/107

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 11/68,88/78,98/39,98/107

Given fractions are 11/68,88/78,98/39,98/107

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 11,88,98,98

Greatest Common Factor of Numerators i.e. GCF of 11,88,98,98 is 1 .

LCM of Denominators means LCM of 68,78,39,107 as per the given fractions.

LCM of 68,78,39,107 is 283764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,88,98,98

GCF of Fractions 11/68,88/78,98/39,98/107 is 1/283764

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

Greatest Common Factor of 11,88,98,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,88,98,98 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 98

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

1,2,7,14,49,98

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 11,88,98,98 . The biggest common factor number is the GCF number.
So the greatest common factor 11,88,98,98 is 1.

Lets's calculate LCM of 68,78,39,107

2 68, 78, 39, 107
3 34, 39, 39, 107
13 34, 13, 13, 107
34, 1, 1, 107

∴ So the LCM of the given numbers is 2 x 3 x 13 x 34 x 1 x 1 x 107 = 283764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283764

Therefore, the GCF of Fractions 11/68,88/78,98/39,98/107 is 1/283764

Least Common Multiple of 68,78,39,107 with GCF Formula

Least Common Multiple of 68,78,39,107 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 68,78,39,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,78,39,107) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(68,78,39,107) x common factors =1 x 78 = 78

LCM(68,78,39,107) = ( 68 × 78 × 39 × 107 ) / 78

LCM(68,78,39,107) = 22133592 / 78

LCM(68,78,39,107) = 283764


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 11/68, 88/78, 98/39, 98/107

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 11/68, 88/78, 98/39, 98/107?

Answer: GCF of Numerators as per given numbers 11/68, 88/78, 98/39, 98/107 is

GCF of Numerators i.e. for 11,88,98,98 is 1

LCM of denominators i.e. for 68,78,39,107 is 283764.

Thus, GCF of Fractions is 1/283764.Finally, GCF of Fractions for 11/68, 88/78, 98/39, 98/107 is 1/283764.