Greatest Common Factor of 470/654, 200/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/654, 200/203

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 470/654,200/203

Given fractions are 470/654,200/203

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 470,200

Greatest Common Factor of Numerators i.e. GCF of 470,200 is 10 .

LCM of Denominators means LCM of 654,203 as per the given fractions.

LCM of 654,203 is 132762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,200

GCF of Fractions 470/654,200/203 is 10/132762

2 470, 200
5 235, 100
47, 20

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 470,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,200 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 470,200 . The biggest common factor number is the GCF number.
So the greatest common factor 470,200 is 10.

Lets's calculate LCM of 654,203

Given numbers has no common factors except 1. So, there LCM is their product i.e 132762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/132762

Therefore, the GCF of Fractions 470/654,200/203 is 10/132762

Least Common Multiple of 654,203 with GCF Formula

Least Common Multiple of 654,203 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 654,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,203) = 1

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

GCF(654,203) x common factors =1 x 1 = 1

LCM(654,203) = ( 654 × 203 ) / 1

LCM(654,203) = 132762 / 1

LCM(654,203) = 132762


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 470/654, 200/203

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 470/654, 200/203?

Answer: GCF of Numerators as per given numbers 470/654, 200/203 is

GCF of Numerators i.e. for 470,200 is 10

LCM of denominators i.e. for 654,203 is 132762.

Thus, GCF of Fractions is 10/132762.Finally, GCF of Fractions for 470/654, 200/203 is 10/132762.