Greatest Common Factor of 642/623, 6345/2048

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 642/623, 6345/2048

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 642/623,6345/2048

Given fractions are 642/623,6345/2048

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 642,6345

Greatest Common Factor of Numerators i.e. GCF of 642,6345 is 3 .

LCM of Denominators means LCM of 623,2048 as per the given fractions.

LCM of 623,2048 is 1275904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 642,6345

GCF of Fractions 642/623,6345/2048 is 3/1275904

3 642, 6345
214, 2115

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 642,6345 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,6345 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345

Greatest Common Factor

We found the factors 642,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 642,6345 is 3.

Lets's calculate LCM of 623,2048

Given numbers has no common factors except 1. So, there LCM is their product i.e 1275904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1275904

Therefore, the GCF of Fractions 642/623,6345/2048 is 3/1275904

Least Common Multiple of 623,2048 with GCF Formula

Least Common Multiple of 623,2048 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 623,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,2048) = 1

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

GCF(623,2048) x common factors =1 x 1 = 1

LCM(623,2048) = ( 623 × 2048 ) / 1

LCM(623,2048) = 1275904 / 1

LCM(623,2048) = 1275904


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 642/623, 6345/2048

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 642/623, 6345/2048?

Answer: GCF of Numerators as per given numbers 642/623, 6345/2048 is

GCF of Numerators i.e. for 642,6345 is 3

LCM of denominators i.e. for 623,2048 is 1275904.

Thus, GCF of Fractions is 3/1275904.Finally, GCF of Fractions for 642/623, 6345/2048 is 3/1275904.