Greatest Common Factor of 714/663, 425/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 714/663, 425/313

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 714/663,425/313

Given fractions are 714/663,425/313

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 714,425

Greatest Common Factor of Numerators i.e. GCF of 714,425 is 17 .

LCM of Denominators means LCM of 663,313 as per the given fractions.

LCM of 663,313 is 207519 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 714,425

GCF of Fractions 714/663,425/313 is 17/207519

17 714, 425
42, 25

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 714,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,425 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 714,425 . The biggest common factor number is the GCF number.
So the greatest common factor 714,425 is 17.

Lets's calculate LCM of 663,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 207519

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/207519

Therefore, the GCF of Fractions 714/663,425/313 is 17/207519

Least Common Multiple of 663,313 with GCF Formula

Least Common Multiple of 663,313 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 663,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,313) = 1

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

GCF(663,313) x common factors =1 x 1 = 1

LCM(663,313) = ( 663 × 313 ) / 1

LCM(663,313) = 207519 / 1

LCM(663,313) = 207519


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 714/663, 425/313

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 714/663, 425/313?

Answer: GCF of Numerators as per given numbers 714/663, 425/313 is

GCF of Numerators i.e. for 714,425 is 17

LCM of denominators i.e. for 663,313 is 207519.

Thus, GCF of Fractions is 17/207519.Finally, GCF of Fractions for 714/663, 425/313 is 17/207519.