Greatest Common Factor of 300/4090, 840/2130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/4090, 840/2130

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 300/4090,840/2130

Given fractions are 300/4090,840/2130

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 300,840

Greatest Common Factor of Numerators i.e. GCF of 300,840 is 60 .

LCM of Denominators means LCM of 4090,2130 as per the given fractions.

LCM of 4090,2130 is 871170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,840

GCF of Fractions 300/4090,840/2130 is 60/871170

2 300, 840
2 150, 420
3 75, 210
5 25, 70
5, 14

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 300,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,840 By Matching Biggest Common Factor Method

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

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 300,840 . The biggest common factor number is the GCF number.
So the greatest common factor 300,840 is 60.

Lets's calculate LCM of 4090,2130

2 4090, 2130
5 2045, 1065
409, 213

∴ So the LCM of the given numbers is 2 x 5 x 409 x 213 = 871170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/871170

Therefore, the GCF of Fractions 300/4090,840/2130 is 60/871170

Least Common Multiple of 4090,2130 with GCF Formula

Least Common Multiple of 4090,2130 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 4090,2130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4090,2130) = 10

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

GCF(4090,2130) x common factors =10 x 1 = 10

LCM(4090,2130) = ( 4090 × 2130 ) / 10

LCM(4090,2130) = 8711700 / 10

LCM(4090,2130) = 871170


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 300/4090, 840/2130

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 300/4090, 840/2130?

Answer: GCF of Numerators as per given numbers 300/4090, 840/2130 is

GCF of Numerators i.e. for 300,840 is 60

LCM of denominators i.e. for 4090,2130 is 871170.

Thus, GCF of Fractions is 60/871170.Finally, GCF of Fractions for 300/4090, 840/2130 is 60/871170.