Greatest Common Factor of 88/24, 98/75, 78/92, 30/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/24, 98/75, 78/92, 30/30

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 88/24,98/75,78/92,30/30

Given fractions are 88/24,98/75,78/92,30/30

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 88,98,78,30

Greatest Common Factor of Numerators i.e. GCF of 88,98,78,30 is 2 .

LCM of Denominators means LCM of 24,75,92,30 as per the given fractions.

LCM of 24,75,92,30 is 13800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,98,78,30

GCF of Fractions 88/24,98/75,78/92,30/30 is 2/13800

2 88, 98, 78, 30
44, 49, 39, 15

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 88,98,78,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,98,78,30 By Matching Biggest Common Factor Method

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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 88,98,78,30 . The biggest common factor number is the GCF number.
So the greatest common factor 88,98,78,30 is 2.

Lets's calculate LCM of 24,75,92,30

2 24, 75, 92, 30
2 12, 75, 46, 15
3 6, 75, 23, 15
5 2, 25, 23, 5
2, 1, 23, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 1 x 23 x 5 = 13800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13800

Therefore, the GCF of Fractions 88/24,98/75,78/92,30/30 is 2/13800

Least Common Multiple of 24,75,92,30 with GCF Formula

Least Common Multiple of 24,75,92,30 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 24,75,92,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,75,92,30) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(24,75,92,30) x common factors =1 x 360 = 360

LCM(24,75,92,30) = ( 24 × 75 × 92 × 30 ) / 360

LCM(24,75,92,30) = 4968000 / 360

LCM(24,75,92,30) = 13800


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 88/24, 98/75, 78/92, 30/30

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 88/24, 98/75, 78/92, 30/30?

Answer: GCF of Numerators as per given numbers 88/24, 98/75, 78/92, 30/30 is

GCF of Numerators i.e. for 88,98,78,30 is 2

LCM of denominators i.e. for 24,75,92,30 is 13800.

Thus, GCF of Fractions is 2/13800.Finally, GCF of Fractions for 88/24, 98/75, 78/92, 30/30 is 2/13800.