Greatest Common Factor of 14/25, 309/25, 681/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/25, 309/25, 681/697

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 14/25,309/25,681/697

Given fractions are 14/25,309/25,681/697

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 14,309,681

Greatest Common Factor of Numerators i.e. GCF of 14,309,681 is 1 .

LCM of Denominators means LCM of 25,25,697 as per the given fractions.

LCM of 25,25,697 is 17425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,309,681

GCF of Fractions 14/25,309/25,681/697 is 1/17425

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

Greatest Common Factor of 14,309,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,309,681 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 14,309,681 . The biggest common factor number is the GCF number.
So the greatest common factor 14,309,681 is 1.

Lets's calculate LCM of 25,25,697

5 25, 25, 697
5 5, 5, 697
1, 1, 697

∴ So the LCM of the given numbers is 5 x 5 x 1 x 1 x 697 = 17425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17425

Therefore, the GCF of Fractions 14/25,309/25,681/697 is 1/17425

Least Common Multiple of 25,25,697 with GCF Formula

Least Common Multiple of 25,25,697 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 25,25,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,25,697) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(25,25,697) x common factors =1 x 25 = 25

LCM(25,25,697) = ( 25 × 25 × 697 ) / 25

LCM(25,25,697) = 435625 / 25

LCM(25,25,697) = 17425


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 14/25, 309/25, 681/697

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 14/25, 309/25, 681/697?

Answer: GCF of Numerators as per given numbers 14/25, 309/25, 681/697 is

GCF of Numerators i.e. for 14,309,681 is 1

LCM of denominators i.e. for 25,25,697 is 17425.

Thus, GCF of Fractions is 1/17425.Finally, GCF of Fractions for 14/25, 309/25, 681/697 is 1/17425.