Greatest Common Factor of 549/40, 555/56, 468/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 549/40, 555/56, 468/16

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 549/40,555/56,468/16

Given fractions are 549/40,555/56,468/16

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 549,555,468

Greatest Common Factor of Numerators i.e. GCF of 549,555,468 is 3 .

LCM of Denominators means LCM of 40,56,16 as per the given fractions.

LCM of 40,56,16 is 560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 549,555,468

GCF of Fractions 549/40,555/56,468/16 is 3/560

3 549, 555, 468
183, 185, 156

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

Greatest Common Factor of 549,555,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,555,468 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 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 549,555,468 . The biggest common factor number is the GCF number.
So the greatest common factor 549,555,468 is 3.

Lets's calculate LCM of 40,56,16

2 40, 56, 16
2 20, 28, 8
2 10, 14, 4
5, 7, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 2 = 560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/560

Therefore, the GCF of Fractions 549/40,555/56,468/16 is 3/560

Least Common Multiple of 40,56,16 with GCF Formula

Least Common Multiple of 40,56,16 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 40,56,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,56,16) = 8

common factors(in case of two or more numbers have common factors) = 8

GCF(40,56,16) x common factors =8 x 8 = 64

LCM(40,56,16) = ( 40 × 56 × 16 ) / 64

LCM(40,56,16) = 35840 / 64

LCM(40,56,16) = 560


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 549/40, 555/56, 468/16

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 549/40, 555/56, 468/16?

Answer: GCF of Numerators as per given numbers 549/40, 555/56, 468/16 is

GCF of Numerators i.e. for 549,555,468 is 3

LCM of denominators i.e. for 40,56,16 is 560.

Thus, GCF of Fractions is 3/560.Finally, GCF of Fractions for 549/40, 555/56, 468/16 is 3/560.