Greatest Common Factor of 1875/405, 2508/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1875/405, 2508/409

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 1875/405,2508/409

Given fractions are 1875/405,2508/409

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 1875,2508

Greatest Common Factor of Numerators i.e. GCF of 1875,2508 is 3 .

LCM of Denominators means LCM of 405,409 as per the given fractions.

LCM of 405,409 is 165645 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1875,2508

GCF of Fractions 1875/405,2508/409 is 3/165645

3 1875, 2508
625, 836

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

Greatest Common Factor of 1875,2508 By Matching Biggest Common Factor Method

Greatest Common Factor of 1875,2508 By Matching Biggest Common Factor Method

Factors of 1875

List of positive integer factors of 1875 that divides 1875 without a remainder.

1,3,5,15,25,75,125,375,625,1875

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508

Greatest Common Factor

We found the factors 1875,2508 . The biggest common factor number is the GCF number.
So the greatest common factor 1875,2508 is 3.

Lets's calculate LCM of 405,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 165645

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/165645

Therefore, the GCF of Fractions 1875/405,2508/409 is 3/165645

Least Common Multiple of 405,409 with GCF Formula

Least Common Multiple of 405,409 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 405,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,409) = 1

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

GCF(405,409) x common factors =1 x 1 = 1

LCM(405,409) = ( 405 × 409 ) / 1

LCM(405,409) = 165645 / 1

LCM(405,409) = 165645


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 1875/405, 2508/409

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 1875/405, 2508/409?

Answer: GCF of Numerators as per given numbers 1875/405, 2508/409 is

GCF of Numerators i.e. for 1875,2508 is 3

LCM of denominators i.e. for 405,409 is 165645.

Thus, GCF of Fractions is 3/165645.Finally, GCF of Fractions for 1875/405, 2508/409 is 3/165645.