Greatest Common Factor of 20/148, 614/143, 516/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/148, 614/143, 516/889

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 20/148,614/143,516/889

Given fractions are 20/148,614/143,516/889

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 20,614,516

Greatest Common Factor of Numerators i.e. GCF of 20,614,516 is 2 .

LCM of Denominators means LCM of 148,143,889 as per the given fractions.

LCM of 148,143,889 is 18814796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,614,516

GCF of Fractions 20/148,614/143,516/889 is 2/18814796

2 20, 614, 516
10, 307, 258

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

Greatest Common Factor of 20,614,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,614,516 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 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 20,614,516 . The biggest common factor number is the GCF number.
So the greatest common factor 20,614,516 is 2.

Lets's calculate LCM of 148,143,889

Given numbers has no common factors except 1. So, there LCM is their product i.e 18814796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18814796

Therefore, the GCF of Fractions 20/148,614/143,516/889 is 2/18814796

Least Common Multiple of 148,143,889 with GCF Formula

Least Common Multiple of 148,143,889 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 148,143,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,143,889) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(148,143,889) x common factors =1 x 1 = 1

LCM(148,143,889) = ( 148 × 143 × 889 ) / 1

LCM(148,143,889) = 18814796 / 1

LCM(148,143,889) = 18814796


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 20/148, 614/143, 516/889

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 20/148, 614/143, 516/889?

Answer: GCF of Numerators as per given numbers 20/148, 614/143, 516/889 is

GCF of Numerators i.e. for 20,614,516 is 2

LCM of denominators i.e. for 148,143,889 is 18814796.

Thus, GCF of Fractions is 2/18814796.Finally, GCF of Fractions for 20/148, 614/143, 516/889 is 2/18814796.