Greatest Common Factor of 20/67, 68/25, 48/99, 62/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/67, 68/25, 48/99, 62/495

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 20/67,68/25,48/99,62/495

Given fractions are 20/67,68/25,48/99,62/495

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 20,68,48,62

Greatest Common Factor of Numerators i.e. GCF of 20,68,48,62 is 2 .

LCM of Denominators means LCM of 67,25,99,495 as per the given fractions.

LCM of 67,25,99,495 is 165825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,68,48,62

GCF of Fractions 20/67,68/25,48/99,62/495 is 2/165825

2 20, 68, 48, 62
10, 34, 24, 31

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

Greatest Common Factor of 20,68,48,62 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,68,48,62 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Greatest Common Factor

We found the factors 20,68,48,62 . The biggest common factor number is the GCF number.
So the greatest common factor 20,68,48,62 is 2.

Lets's calculate LCM of 67,25,99,495

3 67, 25, 99, 495
3 67, 25, 33, 165
5 67, 25, 11, 55
11 67, 5, 11, 11
67, 5, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 67 x 5 x 1 x 1 = 165825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/165825

Therefore, the GCF of Fractions 20/67,68/25,48/99,62/495 is 2/165825

Least Common Multiple of 67,25,99,495 with GCF Formula

Least Common Multiple of 67,25,99,495 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 67,25,99,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,25,99,495) = 1

common factors(in case of two or more numbers have common factors) = 495

GCF(67,25,99,495) x common factors =1 x 495 = 495

LCM(67,25,99,495) = ( 67 × 25 × 99 × 495 ) / 495

LCM(67,25,99,495) = 82083375 / 495

LCM(67,25,99,495) = 165825


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 20/67, 68/25, 48/99, 62/495

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 20/67, 68/25, 48/99, 62/495?

Answer: GCF of Numerators as per given numbers 20/67, 68/25, 48/99, 62/495 is

GCF of Numerators i.e. for 20,68,48,62 is 2

LCM of denominators i.e. for 67,25,99,495 is 165825.

Thus, GCF of Fractions is 2/165825.Finally, GCF of Fractions for 20/67, 68/25, 48/99, 62/495 is 2/165825.