Greatest Common Factor of 2130/460, 8858/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2130/460, 8858/819

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 2130/460,8858/819

Given fractions are 2130/460,8858/819

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 2130,8858

Greatest Common Factor of Numerators i.e. GCF of 2130,8858 is 2 .

LCM of Denominators means LCM of 460,819 as per the given fractions.

LCM of 460,819 is 376740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2130,8858

GCF of Fractions 2130/460,8858/819 is 2/376740

2 2130, 8858
1065, 4429

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

Greatest Common Factor of 2130,8858 By Matching Biggest Common Factor Method

Greatest Common Factor of 2130,8858 By Matching Biggest Common Factor Method

Factors of 2130

List of positive integer factors of 2130 that divides 2130 without a remainder.

1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130

Factors of 8858

List of positive integer factors of 8858 that divides 8858 without a remainder.

1,2,43,86,103,206,4429,8858

Greatest Common Factor

We found the factors 2130,8858 . The biggest common factor number is the GCF number.
So the greatest common factor 2130,8858 is 2.

Lets's calculate LCM of 460,819

Given numbers has no common factors except 1. So, there LCM is their product i.e 376740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/376740

Therefore, the GCF of Fractions 2130/460,8858/819 is 2/376740

Least Common Multiple of 460,819 with GCF Formula

Least Common Multiple of 460,819 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 460,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,819) = 1

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

GCF(460,819) x common factors =1 x 1 = 1

LCM(460,819) = ( 460 × 819 ) / 1

LCM(460,819) = 376740 / 1

LCM(460,819) = 376740


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 2130/460, 8858/819

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 2130/460, 8858/819?

Answer: GCF of Numerators as per given numbers 2130/460, 8858/819 is

GCF of Numerators i.e. for 2130,8858 is 2

LCM of denominators i.e. for 460,819 is 376740.

Thus, GCF of Fractions is 2/376740.Finally, GCF of Fractions for 2130/460, 8858/819 is 2/376740.