Greatest Common Factor of 2/30, 40/31, 62/229, 300/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/30, 40/31, 62/229, 300/496

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 2/30,40/31,62/229,300/496

Given fractions are 2/30,40/31,62/229,300/496

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 2,40,62,300

Greatest Common Factor of Numerators i.e. GCF of 2,40,62,300 is 2 .

LCM of Denominators means LCM of 30,31,229,496 as per the given fractions.

LCM of 30,31,229,496 is 1703760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,40,62,300

GCF of Fractions 2/30,40/31,62/229,300/496 is 2/1703760

2 2, 40, 62, 300
1, 20, 31, 150

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

Greatest Common Factor of 2,40,62,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,40,62,300 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 62

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

1,2,31,62

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 2,40,62,300 . The biggest common factor number is the GCF number.
So the greatest common factor 2,40,62,300 is 2.

Lets's calculate LCM of 30,31,229,496

2 30, 31, 229, 496
31 15, 31, 229, 248
15, 1, 229, 8

∴ So the LCM of the given numbers is 2 x 31 x 15 x 1 x 229 x 8 = 1703760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1703760

Therefore, the GCF of Fractions 2/30,40/31,62/229,300/496 is 2/1703760

Least Common Multiple of 30,31,229,496 with GCF Formula

Least Common Multiple of 30,31,229,496 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 30,31,229,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,31,229,496) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(30,31,229,496) x common factors =1 x 62 = 62

LCM(30,31,229,496) = ( 30 × 31 × 229 × 496 ) / 62

LCM(30,31,229,496) = 105633120 / 62

LCM(30,31,229,496) = 1703760


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 2/30, 40/31, 62/229, 300/496

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 2/30, 40/31, 62/229, 300/496?

Answer: GCF of Numerators as per given numbers 2/30, 40/31, 62/229, 300/496 is

GCF of Numerators i.e. for 2,40,62,300 is 2

LCM of denominators i.e. for 30,31,229,496 is 1703760.

Thus, GCF of Fractions is 2/1703760.Finally, GCF of Fractions for 2/30, 40/31, 62/229, 300/496 is 2/1703760.