Greatest Common Factor of 549/45, 677/55, 144/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/45, 677/55, 144/33

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 549/45,677/55,144/33

Given fractions are 549/45,677/55,144/33

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 549,677,144

Greatest Common Factor of Numerators i.e. GCF of 549,677,144 is 1 .

LCM of Denominators means LCM of 45,55,33 as per the given fractions.

LCM of 45,55,33 is 495 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,677,144

GCF of Fractions 549/45,677/55,144/33 is 1/495

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

Greatest Common Factor of 549,677,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,677,144 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 549,677,144 . The biggest common factor number is the GCF number.
So the greatest common factor 549,677,144 is 1.

Lets's calculate LCM of 45,55,33

3 45, 55, 33
5 15, 55, 11
11 3, 11, 11
3, 1, 1

∴ So the LCM of the given numbers is 3 x 5 x 11 x 3 x 1 x 1 = 495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495

Therefore, the GCF of Fractions 549/45,677/55,144/33 is 1/495

Least Common Multiple of 45,55,33 with GCF Formula

Least Common Multiple of 45,55,33 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 45,55,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,55,33) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(45,55,33) x common factors =1 x 165 = 165

LCM(45,55,33) = ( 45 × 55 × 33 ) / 165

LCM(45,55,33) = 81675 / 165

LCM(45,55,33) = 495


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 549/45, 677/55, 144/33

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 549/45, 677/55, 144/33?

Answer: GCF of Numerators as per given numbers 549/45, 677/55, 144/33 is

GCF of Numerators i.e. for 549,677,144 is 1

LCM of denominators i.e. for 45,55,33 is 495.

Thus, GCF of Fractions is 1/495.Finally, GCF of Fractions for 549/45, 677/55, 144/33 is 1/495.