Greatest Common Factor of 90/74, 14/48, 56/13, 588/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/74, 14/48, 56/13, 588/74

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 90/74,14/48,56/13,588/74

Given fractions are 90/74,14/48,56/13,588/74

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 90,14,56,588

Greatest Common Factor of Numerators i.e. GCF of 90,14,56,588 is 2 .

LCM of Denominators means LCM of 74,48,13,74 as per the given fractions.

LCM of 74,48,13,74 is 23088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,14,56,588

GCF of Fractions 90/74,14/48,56/13,588/74 is 2/23088

2 90, 14, 56, 588
45, 7, 28, 294

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

Greatest Common Factor of 90,14,56,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,14,56,588 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 90,14,56,588 . The biggest common factor number is the GCF number.
So the greatest common factor 90,14,56,588 is 2.

Lets's calculate LCM of 74,48,13,74

2 74, 48, 13, 74
37 37, 24, 13, 37
1, 24, 13, 1

∴ So the LCM of the given numbers is 2 x 37 x 1 x 24 x 13 x 1 = 23088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23088

Therefore, the GCF of Fractions 90/74,14/48,56/13,588/74 is 2/23088

Least Common Multiple of 74,48,13,74 with GCF Formula

Least Common Multiple of 74,48,13,74 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 74,48,13,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,48,13,74) = 1

common factors(in case of two or more numbers have common factors) = 148

GCF(74,48,13,74) x common factors =1 x 148 = 148

LCM(74,48,13,74) = ( 74 × 48 × 13 × 74 ) / 148

LCM(74,48,13,74) = 3417024 / 148

LCM(74,48,13,74) = 23088


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 90/74, 14/48, 56/13, 588/74

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 90/74, 14/48, 56/13, 588/74?

Answer: GCF of Numerators as per given numbers 90/74, 14/48, 56/13, 588/74 is

GCF of Numerators i.e. for 90,14,56,588 is 2

LCM of denominators i.e. for 74,48,13,74 is 23088.

Thus, GCF of Fractions is 2/23088.Finally, GCF of Fractions for 90/74, 14/48, 56/13, 588/74 is 2/23088.