Greatest Common Factor of 33/498, 446/119, 543/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/498, 446/119, 543/764

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 33/498,446/119,543/764

Given fractions are 33/498,446/119,543/764

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 33,446,543

Greatest Common Factor of Numerators i.e. GCF of 33,446,543 is 1 .

LCM of Denominators means LCM of 498,119,764 as per the given fractions.

LCM of 498,119,764 is 22638084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,446,543

GCF of Fractions 33/498,446/119,543/764 is 1/22638084

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

Greatest Common Factor of 33,446,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,446,543 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 33,446,543 . The biggest common factor number is the GCF number.
So the greatest common factor 33,446,543 is 1.

Lets's calculate LCM of 498,119,764

2 498, 119, 764
249, 119, 382

∴ So the LCM of the given numbers is 2 x 249 x 119 x 382 = 22638084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22638084

Therefore, the GCF of Fractions 33/498,446/119,543/764 is 1/22638084

Least Common Multiple of 498,119,764 with GCF Formula

Least Common Multiple of 498,119,764 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 498,119,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,119,764) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(498,119,764) x common factors =1 x 2 = 2

LCM(498,119,764) = ( 498 × 119 × 764 ) / 2

LCM(498,119,764) = 45276168 / 2

LCM(498,119,764) = 22638084


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 33/498, 446/119, 543/764

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 33/498, 446/119, 543/764?

Answer: GCF of Numerators as per given numbers 33/498, 446/119, 543/764 is

GCF of Numerators i.e. for 33,446,543 is 1

LCM of denominators i.e. for 498,119,764 is 22638084.

Thus, GCF of Fractions is 1/22638084.Finally, GCF of Fractions for 33/498, 446/119, 543/764 is 1/22638084.