Greatest Common Factor of 3/62, 24/90, 38/500, 620/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/62, 24/90, 38/500, 620/726

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 3/62,24/90,38/500,620/726

Given fractions are 3/62,24/90,38/500,620/726

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 3,24,38,620

Greatest Common Factor of Numerators i.e. GCF of 3,24,38,620 is 1 .

LCM of Denominators means LCM of 62,90,500,726 as per the given fractions.

LCM of 62,90,500,726 is 16879500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,24,38,620

GCF of Fractions 3/62,24/90,38/500,620/726 is 1/16879500

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

Greatest Common Factor of 3,24,38,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,24,38,620 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 3,24,38,620 . The biggest common factor number is the GCF number.
So the greatest common factor 3,24,38,620 is 1.

Lets's calculate LCM of 62,90,500,726

2 62, 90, 500, 726
3 31, 45, 250, 363
5 31, 15, 250, 121
31, 3, 50, 121

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 3 x 50 x 121 = 16879500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16879500

Therefore, the GCF of Fractions 3/62,24/90,38/500,620/726 is 1/16879500

Least Common Multiple of 62,90,500,726 with GCF Formula

Least Common Multiple of 62,90,500,726 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 62,90,500,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,90,500,726) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(62,90,500,726) x common factors =2 x 60 = 120

LCM(62,90,500,726) = ( 62 × 90 × 500 × 726 ) / 120

LCM(62,90,500,726) = 2025540000 / 120

LCM(62,90,500,726) = 16879500


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 3/62, 24/90, 38/500, 620/726

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 3/62, 24/90, 38/500, 620/726?

Answer: GCF of Numerators as per given numbers 3/62, 24/90, 38/500, 620/726 is

GCF of Numerators i.e. for 3,24,38,620 is 1

LCM of denominators i.e. for 62,90,500,726 is 16879500.

Thus, GCF of Fractions is 1/16879500.Finally, GCF of Fractions for 3/62, 24/90, 38/500, 620/726 is 1/16879500.