Greatest Common Factor of 2708/406, 8497/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2708/406, 8497/725

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 2708/406,8497/725

Given fractions are 2708/406,8497/725

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 2708,8497

Greatest Common Factor of Numerators i.e. GCF of 2708,8497 is 1 .

LCM of Denominators means LCM of 406,725 as per the given fractions.

LCM of 406,725 is 10150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2708,8497

GCF of Fractions 2708/406,8497/725 is 1/10150

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

Greatest Common Factor of 2708,8497 By Matching Biggest Common Factor Method

Greatest Common Factor of 2708,8497 By Matching Biggest Common Factor Method

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1,2,4,677,1354,2708

Factors of 8497

List of positive integer factors of 8497 that divides 8497 without a remainder.

1,29,293,8497

Greatest Common Factor

We found the factors 2708,8497 . The biggest common factor number is the GCF number.
So the greatest common factor 2708,8497 is 1.

Lets's calculate LCM of 406,725

29 406, 725
14, 25

∴ So the LCM of the given numbers is 29 x 14 x 25 = 10150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10150

Therefore, the GCF of Fractions 2708/406,8497/725 is 1/10150

Least Common Multiple of 406,725 with GCF Formula

Least Common Multiple of 406,725 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 406,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,725) = 29

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

GCF(406,725) x common factors =29 x 1 = 29

LCM(406,725) = ( 406 × 725 ) / 29

LCM(406,725) = 294350 / 29

LCM(406,725) = 10150


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 2708/406, 8497/725

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 2708/406, 8497/725?

Answer: GCF of Numerators as per given numbers 2708/406, 8497/725 is

GCF of Numerators i.e. for 2708,8497 is 1

LCM of denominators i.e. for 406,725 is 10150.

Thus, GCF of Fractions is 1/10150.Finally, GCF of Fractions for 2708/406, 8497/725 is 1/10150.