Greatest Common Factor of 379/3658, 636/9600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 379/3658, 636/9600

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 379/3658,636/9600

Given fractions are 379/3658,636/9600

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 379,636

Greatest Common Factor of Numerators i.e. GCF of 379,636 is 1 .

LCM of Denominators means LCM of 3658,9600 as per the given fractions.

LCM of 3658,9600 is 17558400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 379,636

GCF of Fractions 379/3658,636/9600 is 1/17558400

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

Greatest Common Factor of 379,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,636 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 379,636 . The biggest common factor number is the GCF number.
So the greatest common factor 379,636 is 1.

Lets's calculate LCM of 3658,9600

2 3658, 9600
1829, 4800

∴ So the LCM of the given numbers is 2 x 1829 x 4800 = 17558400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17558400

Therefore, the GCF of Fractions 379/3658,636/9600 is 1/17558400

Least Common Multiple of 3658,9600 with GCF Formula

Least Common Multiple of 3658,9600 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 3658,9600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3658,9600) = 2

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

GCF(3658,9600) x common factors =2 x 1 = 2

LCM(3658,9600) = ( 3658 × 9600 ) / 2

LCM(3658,9600) = 35116800 / 2

LCM(3658,9600) = 17558400


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 379/3658, 636/9600

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 379/3658, 636/9600?

Answer: GCF of Numerators as per given numbers 379/3658, 636/9600 is

GCF of Numerators i.e. for 379,636 is 1

LCM of denominators i.e. for 3658,9600 is 17558400.

Thus, GCF of Fractions is 1/17558400.Finally, GCF of Fractions for 379/3658, 636/9600 is 1/17558400.