Greatest Common Factor of 3209/25, 2814/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3209/25, 2814/852

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 3209/25,2814/852

Given fractions are 3209/25,2814/852

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 3209,2814

Greatest Common Factor of Numerators i.e. GCF of 3209,2814 is 1 .

LCM of Denominators means LCM of 25,852 as per the given fractions.

LCM of 25,852 is 21300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3209,2814

GCF of Fractions 3209/25,2814/852 is 1/21300

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

Greatest Common Factor of 3209,2814 By Matching Biggest Common Factor Method

Greatest Common Factor of 3209,2814 By Matching Biggest Common Factor Method

Factors of 3209

List of positive integer factors of 3209 that divides 3209 without a remainder.

1,3209

Factors of 2814

List of positive integer factors of 2814 that divides 2814 without a remainder.

1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814

Greatest Common Factor

We found the factors 3209,2814 . The biggest common factor number is the GCF number.
So the greatest common factor 3209,2814 is 1.

Lets's calculate LCM of 25,852

Given numbers has no common factors except 1. So, there LCM is their product i.e 21300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21300

Therefore, the GCF of Fractions 3209/25,2814/852 is 1/21300

Least Common Multiple of 25,852 with GCF Formula

Least Common Multiple of 25,852 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 25,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,852) = 1

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

GCF(25,852) x common factors =1 x 1 = 1

LCM(25,852) = ( 25 × 852 ) / 1

LCM(25,852) = 21300 / 1

LCM(25,852) = 21300


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 3209/25, 2814/852

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 3209/25, 2814/852?

Answer: GCF of Numerators as per given numbers 3209/25, 2814/852 is

GCF of Numerators i.e. for 3209,2814 is 1

LCM of denominators i.e. for 25,852 is 21300.

Thus, GCF of Fractions is 1/21300.Finally, GCF of Fractions for 3209/25, 2814/852 is 1/21300.