Greatest Common Factor of 679/55, 3783/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 679/55, 3783/442

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 679/55,3783/442

Given fractions are 679/55,3783/442

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 679,3783

Greatest Common Factor of Numerators i.e. GCF of 679,3783 is 97 .

LCM of Denominators means LCM of 55,442 as per the given fractions.

LCM of 55,442 is 24310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 679,3783

GCF of Fractions 679/55,3783/442 is 97/24310

97 679, 3783
7, 39

∴ So the GCF of the given numbers is 97 = 97

Greatest Common Factor of 679,3783 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,3783 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 3783

List of positive integer factors of 3783 that divides 3783 without a remainder.

1,3,13,39,97,291,1261,3783

Greatest Common Factor

We found the factors 679,3783 . The biggest common factor number is the GCF number.
So the greatest common factor 679,3783 is 97.

Lets's calculate LCM of 55,442

Given numbers has no common factors except 1. So, there LCM is their product i.e 24310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 97/24310

Therefore, the GCF of Fractions 679/55,3783/442 is 97/24310

Least Common Multiple of 55,442 with GCF Formula

Least Common Multiple of 55,442 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 55,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,442) = 1

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

GCF(55,442) x common factors =1 x 1 = 1

LCM(55,442) = ( 55 × 442 ) / 1

LCM(55,442) = 24310 / 1

LCM(55,442) = 24310


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 679/55, 3783/442

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 679/55, 3783/442?

Answer: GCF of Numerators as per given numbers 679/55, 3783/442 is

GCF of Numerators i.e. for 679,3783 is 97

LCM of denominators i.e. for 55,442 is 24310.

Thus, GCF of Fractions is 97/24310.Finally, GCF of Fractions for 679/55, 3783/442 is 97/24310.