Greatest Common Factor of 454/60, 468/87, 216/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 454/60, 468/87, 216/16

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 454/60,468/87,216/16

Given fractions are 454/60,468/87,216/16

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 454,468,216

Greatest Common Factor of Numerators i.e. GCF of 454,468,216 is 2 .

LCM of Denominators means LCM of 60,87,16 as per the given fractions.

LCM of 60,87,16 is 6960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 454,468,216

GCF of Fractions 454/60,468/87,216/16 is 2/6960

2 454, 468, 216
227, 234, 108

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

Greatest Common Factor of 454,468,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,468,216 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

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

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 454,468,216 . The biggest common factor number is the GCF number.
So the greatest common factor 454,468,216 is 2.

Lets's calculate LCM of 60,87,16

2 60, 87, 16
2 30, 87, 8
3 15, 87, 4
5, 29, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 29 x 4 = 6960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6960

Therefore, the GCF of Fractions 454/60,468/87,216/16 is 2/6960

Least Common Multiple of 60,87,16 with GCF Formula

Least Common Multiple of 60,87,16 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 60,87,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,87,16) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,87,16) x common factors =1 x 12 = 12

LCM(60,87,16) = ( 60 × 87 × 16 ) / 12

LCM(60,87,16) = 83520 / 12

LCM(60,87,16) = 6960


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 454/60, 468/87, 216/16

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 454/60, 468/87, 216/16?

Answer: GCF of Numerators as per given numbers 454/60, 468/87, 216/16 is

GCF of Numerators i.e. for 454,468,216 is 2

LCM of denominators i.e. for 60,87,16 is 6960.

Thus, GCF of Fractions is 2/6960.Finally, GCF of Fractions for 454/60, 468/87, 216/16 is 2/6960.