Greatest Common Factor of 6063/785, 3228/5005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6063/785, 3228/5005

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 6063/785,3228/5005

Given fractions are 6063/785,3228/5005

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 6063,3228

Greatest Common Factor of Numerators i.e. GCF of 6063,3228 is 3 .

LCM of Denominators means LCM of 785,5005 as per the given fractions.

LCM of 785,5005 is 785785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6063,3228

GCF of Fractions 6063/785,3228/5005 is 3/785785

3 6063, 3228
2021, 1076

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

Greatest Common Factor of 6063,3228 By Matching Biggest Common Factor Method

Greatest Common Factor of 6063,3228 By Matching Biggest Common Factor Method

Factors of 6063

List of positive integer factors of 6063 that divides 6063 without a remainder.

1,3,43,47,129,141,2021,6063

Factors of 3228

List of positive integer factors of 3228 that divides 3228 without a remainder.

1,2,3,4,6,12,269,538,807,1076,1614,3228

Greatest Common Factor

We found the factors 6063,3228 . The biggest common factor number is the GCF number.
So the greatest common factor 6063,3228 is 3.

Lets's calculate LCM of 785,5005

5 785, 5005
157, 1001

∴ So the LCM of the given numbers is 5 x 157 x 1001 = 785785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/785785

Therefore, the GCF of Fractions 6063/785,3228/5005 is 3/785785

Least Common Multiple of 785,5005 with GCF Formula

Least Common Multiple of 785,5005 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 785,5005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,5005) = 5

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

GCF(785,5005) x common factors =5 x 1 = 5

LCM(785,5005) = ( 785 × 5005 ) / 5

LCM(785,5005) = 3928925 / 5

LCM(785,5005) = 785785


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 6063/785, 3228/5005

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 6063/785, 3228/5005?

Answer: GCF of Numerators as per given numbers 6063/785, 3228/5005 is

GCF of Numerators i.e. for 6063,3228 is 3

LCM of denominators i.e. for 785,5005 is 785785.

Thus, GCF of Fractions is 3/785785.Finally, GCF of Fractions for 6063/785, 3228/5005 is 3/785785.