Greatest Common Factor of 949/20, 204/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 949/20, 204/812

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 949/20,204/812

Given fractions are 949/20,204/812

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 949,204

Greatest Common Factor of Numerators i.e. GCF of 949,204 is 1 .

LCM of Denominators means LCM of 20,812 as per the given fractions.

LCM of 20,812 is 4060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 949,204

GCF of Fractions 949/20,204/812 is 1/4060

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

Greatest Common Factor of 949,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,204 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 949,204 . The biggest common factor number is the GCF number.
So the greatest common factor 949,204 is 1.

Lets's calculate LCM of 20,812

2 20, 812
2 10, 406
5, 203

∴ So the LCM of the given numbers is 2 x 2 x 5 x 203 = 4060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4060

Therefore, the GCF of Fractions 949/20,204/812 is 1/4060

Least Common Multiple of 20,812 with GCF Formula

Least Common Multiple of 20,812 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 20,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,812) = 4

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

GCF(20,812) x common factors =4 x 1 = 4

LCM(20,812) = ( 20 × 812 ) / 4

LCM(20,812) = 16240 / 4

LCM(20,812) = 4060


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 949/20, 204/812

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 949/20, 204/812?

Answer: GCF of Numerators as per given numbers 949/20, 204/812 is

GCF of Numerators i.e. for 949,204 is 1

LCM of denominators i.e. for 20,812 is 4060.

Thus, GCF of Fractions is 1/4060.Finally, GCF of Fractions for 949/20, 204/812 is 1/4060.