Greatest Common Factor of 4497/20, 5328/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4497/20, 5328/355

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 4497/20,5328/355

Given fractions are 4497/20,5328/355

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 4497,5328

Greatest Common Factor of Numerators i.e. GCF of 4497,5328 is 3 .

LCM of Denominators means LCM of 20,355 as per the given fractions.

LCM of 20,355 is 1420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4497,5328

GCF of Fractions 4497/20,5328/355 is 3/1420

3 4497, 5328
1499, 1776

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

Greatest Common Factor of 4497,5328 By Matching Biggest Common Factor Method

Greatest Common Factor of 4497,5328 By Matching Biggest Common Factor Method

Factors of 4497

List of positive integer factors of 4497 that divides 4497 without a remainder.

1,3,1499,4497

Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Greatest Common Factor

We found the factors 4497,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 4497,5328 is 3.

Lets's calculate LCM of 20,355

5 20, 355
4, 71

∴ So the LCM of the given numbers is 5 x 4 x 71 = 1420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1420

Therefore, the GCF of Fractions 4497/20,5328/355 is 3/1420

Least Common Multiple of 20,355 with GCF Formula

Least Common Multiple of 20,355 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 20,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,355) = 5

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

GCF(20,355) x common factors =5 x 1 = 5

LCM(20,355) = ( 20 × 355 ) / 5

LCM(20,355) = 7100 / 5

LCM(20,355) = 1420


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 4497/20, 5328/355

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 4497/20, 5328/355?

Answer: GCF of Numerators as per given numbers 4497/20, 5328/355 is

GCF of Numerators i.e. for 4497,5328 is 3

LCM of denominators i.e. for 20,355 is 1420.

Thus, GCF of Fractions is 3/1420.Finally, GCF of Fractions for 4497/20, 5328/355 is 3/1420.