Greatest Common Factor of 2205/123, 7138/7870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2205/123, 7138/7870

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 2205/123,7138/7870

Given fractions are 2205/123,7138/7870

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 2205,7138

Greatest Common Factor of Numerators i.e. GCF of 2205,7138 is 1 .

LCM of Denominators means LCM of 123,7870 as per the given fractions.

LCM of 123,7870 is 968010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2205,7138

GCF of Fractions 2205/123,7138/7870 is 1/968010

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

Greatest Common Factor of 2205,7138 By Matching Biggest Common Factor Method

Greatest Common Factor of 2205,7138 By Matching Biggest Common Factor Method

Factors of 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205

Factors of 7138

List of positive integer factors of 7138 that divides 7138 without a remainder.

1,2,43,83,86,166,3569,7138

Greatest Common Factor

We found the factors 2205,7138 . The biggest common factor number is the GCF number.
So the greatest common factor 2205,7138 is 1.

Lets's calculate LCM of 123,7870

Given numbers has no common factors except 1. So, there LCM is their product i.e 968010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/968010

Therefore, the GCF of Fractions 2205/123,7138/7870 is 1/968010

Least Common Multiple of 123,7870 with GCF Formula

Least Common Multiple of 123,7870 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 123,7870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,7870) = 1

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

GCF(123,7870) x common factors =1 x 1 = 1

LCM(123,7870) = ( 123 × 7870 ) / 1

LCM(123,7870) = 968010 / 1

LCM(123,7870) = 968010


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 2205/123, 7138/7870

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 2205/123, 7138/7870?

Answer: GCF of Numerators as per given numbers 2205/123, 7138/7870 is

GCF of Numerators i.e. for 2205,7138 is 1

LCM of denominators i.e. for 123,7870 is 968010.

Thus, GCF of Fractions is 1/968010.Finally, GCF of Fractions for 2205/123, 7138/7870 is 1/968010.