Greatest Common Factor of 484/32, 676/4459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 484/32, 676/4459

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 484/32,676/4459

Given fractions are 484/32,676/4459

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 484,676

Greatest Common Factor of Numerators i.e. GCF of 484,676 is 4 .

LCM of Denominators means LCM of 32,4459 as per the given fractions.

LCM of 32,4459 is 142688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 484,676

GCF of Fractions 484/32,676/4459 is 4/142688

2 484, 676
2 242, 338
121, 169

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 484,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,676 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 484,676 . The biggest common factor number is the GCF number.
So the greatest common factor 484,676 is 4.

Lets's calculate LCM of 32,4459

Given numbers has no common factors except 1. So, there LCM is their product i.e 142688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/142688

Therefore, the GCF of Fractions 484/32,676/4459 is 4/142688

Least Common Multiple of 32,4459 with GCF Formula

Least Common Multiple of 32,4459 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 32,4459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,4459) = 1

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

GCF(32,4459) x common factors =1 x 1 = 1

LCM(32,4459) = ( 32 × 4459 ) / 1

LCM(32,4459) = 142688 / 1

LCM(32,4459) = 142688


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 484/32, 676/4459

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 484/32, 676/4459?

Answer: GCF of Numerators as per given numbers 484/32, 676/4459 is

GCF of Numerators i.e. for 484,676 is 4

LCM of denominators i.e. for 32,4459 is 142688.

Thus, GCF of Fractions is 4/142688.Finally, GCF of Fractions for 484/32, 676/4459 is 4/142688.