Greatest Common Factor of 679/408, 665/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 679/408, 665/233

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 679/408,665/233

Given fractions are 679/408,665/233

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 679,665

Greatest Common Factor of Numerators i.e. GCF of 679,665 is 7 .

LCM of Denominators means LCM of 408,233 as per the given fractions.

LCM of 408,233 is 95064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 679,665

GCF of Fractions 679/408,665/233 is 7/95064

7 679, 665
97, 95

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 679,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,665 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 679,665 . The biggest common factor number is the GCF number.
So the greatest common factor 679,665 is 7.

Lets's calculate LCM of 408,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 95064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/95064

Therefore, the GCF of Fractions 679/408,665/233 is 7/95064

Least Common Multiple of 408,233 with GCF Formula

Least Common Multiple of 408,233 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 408,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,233) = 1

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

GCF(408,233) x common factors =1 x 1 = 1

LCM(408,233) = ( 408 × 233 ) / 1

LCM(408,233) = 95064 / 1

LCM(408,233) = 95064


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 679/408, 665/233

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 679/408, 665/233?

Answer: GCF of Numerators as per given numbers 679/408, 665/233 is

GCF of Numerators i.e. for 679,665 is 7

LCM of denominators i.e. for 408,233 is 95064.

Thus, GCF of Fractions is 7/95064.Finally, GCF of Fractions for 679/408, 665/233 is 7/95064.