Greatest Common Factor of 2190/348, 6069/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2190/348, 6069/869

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 2190/348,6069/869

Given fractions are 2190/348,6069/869

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 2190,6069

Greatest Common Factor of Numerators i.e. GCF of 2190,6069 is 3 .

LCM of Denominators means LCM of 348,869 as per the given fractions.

LCM of 348,869 is 302412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2190,6069

GCF of Fractions 2190/348,6069/869 is 3/302412

3 2190, 6069
730, 2023

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2190,6069 By Matching Biggest Common Factor Method

Greatest Common Factor of 2190,6069 By Matching Biggest Common Factor Method

Factors of 2190

List of positive integer factors of 2190 that divides 2190 without a remainder.

1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190

Factors of 6069

List of positive integer factors of 6069 that divides 6069 without a remainder.

1,3,7,17,21,51,119,289,357,867,2023,6069

Greatest Common Factor

We found the factors 2190,6069 . The biggest common factor number is the GCF number.
So the greatest common factor 2190,6069 is 3.

Lets's calculate LCM of 348,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 302412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/302412

Therefore, the GCF of Fractions 2190/348,6069/869 is 3/302412

Least Common Multiple of 348,869 with GCF Formula

Least Common Multiple of 348,869 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 348,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,869) = 1

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

GCF(348,869) x common factors =1 x 1 = 1

LCM(348,869) = ( 348 × 869 ) / 1

LCM(348,869) = 302412 / 1

LCM(348,869) = 302412


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 2190/348, 6069/869

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 2190/348, 6069/869?

Answer: GCF of Numerators as per given numbers 2190/348, 6069/869 is

GCF of Numerators i.e. for 2190,6069 is 3

LCM of denominators i.e. for 348,869 is 302412.

Thus, GCF of Fractions is 3/302412.Finally, GCF of Fractions for 2190/348, 6069/869 is 3/302412.