Greatest Common Factor of 654/23, 694/7399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 654/23, 694/7399

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 654/23,694/7399

Given fractions are 654/23,694/7399

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 654,694

Greatest Common Factor of Numerators i.e. GCF of 654,694 is 2 .

LCM of Denominators means LCM of 23,7399 as per the given fractions.

LCM of 23,7399 is 170177 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 654,694

GCF of Fractions 654/23,694/7399 is 2/170177

2 654, 694
327, 347

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 654,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,694 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 654,694 . The biggest common factor number is the GCF number.
So the greatest common factor 654,694 is 2.

Lets's calculate LCM of 23,7399

Given numbers has no common factors except 1. So, there LCM is their product i.e 170177

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/170177

Therefore, the GCF of Fractions 654/23,694/7399 is 2/170177

Least Common Multiple of 23,7399 with GCF Formula

Least Common Multiple of 23,7399 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 23,7399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,7399) = 1

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

GCF(23,7399) x common factors =1 x 1 = 1

LCM(23,7399) = ( 23 × 7399 ) / 1

LCM(23,7399) = 170177 / 1

LCM(23,7399) = 170177


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 654/23, 694/7399

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 654/23, 694/7399?

Answer: GCF of Numerators as per given numbers 654/23, 694/7399 is

GCF of Numerators i.e. for 654,694 is 2

LCM of denominators i.e. for 23,7399 is 170177.

Thus, GCF of Fractions is 2/170177.Finally, GCF of Fractions for 654/23, 694/7399 is 2/170177.