Greatest Common Factor of 449/834, 4964/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 449/834, 4964/146

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 449/834,4964/146

Given fractions are 449/834,4964/146

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 449,4964

Greatest Common Factor of Numerators i.e. GCF of 449,4964 is 1 .

LCM of Denominators means LCM of 834,146 as per the given fractions.

LCM of 834,146 is 60882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 449,4964

GCF of Fractions 449/834,4964/146 is 1/60882

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

Greatest Common Factor of 449,4964 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,4964 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 4964

List of positive integer factors of 4964 that divides 4964 without a remainder.

1,2,4,17,34,68,73,146,292,1241,2482,4964

Greatest Common Factor

We found the factors 449,4964 . The biggest common factor number is the GCF number.
So the greatest common factor 449,4964 is 1.

Lets's calculate LCM of 834,146

2 834, 146
417, 73

∴ So the LCM of the given numbers is 2 x 417 x 73 = 60882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60882

Therefore, the GCF of Fractions 449/834,4964/146 is 1/60882

Least Common Multiple of 834,146 with GCF Formula

Least Common Multiple of 834,146 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 834,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,146) = 2

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

GCF(834,146) x common factors =2 x 1 = 2

LCM(834,146) = ( 834 × 146 ) / 2

LCM(834,146) = 121764 / 2

LCM(834,146) = 60882


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 449/834, 4964/146

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 449/834, 4964/146?

Answer: GCF of Numerators as per given numbers 449/834, 4964/146 is

GCF of Numerators i.e. for 449,4964 is 1

LCM of denominators i.e. for 834,146 is 60882.

Thus, GCF of Fractions is 1/60882.Finally, GCF of Fractions for 449/834, 4964/146 is 1/60882.