Greatest Common Factor of 20/23, 44/78, 98/87, 63/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/23, 44/78, 98/87, 63/318

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 20/23,44/78,98/87,63/318

Given fractions are 20/23,44/78,98/87,63/318

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 20,44,98,63

Greatest Common Factor of Numerators i.e. GCF of 20,44,98,63 is 1 .

LCM of Denominators means LCM of 23,78,87,318 as per the given fractions.

LCM of 23,78,87,318 is 2757378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,44,98,63

GCF of Fractions 20/23,44/78,98/87,63/318 is 1/2757378

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

Greatest Common Factor of 20,44,98,63 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,44,98,63 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 98

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

1,2,7,14,49,98

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Greatest Common Factor

We found the factors 20,44,98,63 . The biggest common factor number is the GCF number.
So the greatest common factor 20,44,98,63 is 1.

Lets's calculate LCM of 23,78,87,318

2 23, 78, 87, 318
3 23, 39, 87, 159
23, 13, 29, 53

∴ So the LCM of the given numbers is 2 x 3 x 23 x 13 x 29 x 53 = 2757378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2757378

Therefore, the GCF of Fractions 20/23,44/78,98/87,63/318 is 1/2757378

Least Common Multiple of 23,78,87,318 with GCF Formula

Least Common Multiple of 23,78,87,318 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 23,78,87,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,78,87,318) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(23,78,87,318) x common factors =1 x 18 = 18

LCM(23,78,87,318) = ( 23 × 78 × 87 × 318 ) / 18

LCM(23,78,87,318) = 49632804 / 18

LCM(23,78,87,318) = 2757378


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 20/23, 44/78, 98/87, 63/318

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 20/23, 44/78, 98/87, 63/318?

Answer: GCF of Numerators as per given numbers 20/23, 44/78, 98/87, 63/318 is

GCF of Numerators i.e. for 20,44,98,63 is 1

LCM of denominators i.e. for 23,78,87,318 is 2757378.

Thus, GCF of Fractions is 1/2757378.Finally, GCF of Fractions for 20/23, 44/78, 98/87, 63/318 is 1/2757378.