GCD of 932, 680, 16, 546 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 932, 680, 16, 546 i.e. 2 largest integer that divides all the numbers equally.

GCD of 932, 680, 16, 546 is 2

GCD(932, 680, 16, 546) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 932, 680, 16, 546 is 2

GCD(932, 680, 16, 546) = 2

GCD of 932,680,16,546 Calculator

GCDof 932,680,16,546 is 2

Given Input numbers are 932, 680, 16, 546

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 932, 680, 16, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 680, 16, 546 is 2.

Therefore, GCD of numbers 932, 680, 16, 546 is 2

Finding GCD of 932, 680, 16, 546 using Prime Factorization

Given Input Data is 932, 680, 16, 546

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 546 is 2 x 3 x 7 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 932, 680, 16, 546 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(932, 680) = 158440

GCD(932, 680) = ( 932 x 680 ) / 158440

GCD(932, 680) = 633760 / 158440

GCD(932, 680) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 16

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

GCD(4, 16) = 64 / 16

GCD(4, 16) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 546

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 546) = 1092

GCD(4, 546) = ( 4 x 546 ) / 1092

GCD(4, 546) = 2184 / 1092

GCD(4, 546) = 2

GCD of 932, 680, 16, 546 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 932, 680, 16, 546

1. What is the GCD of 932, 680, 16, 546?

GCD of 932, 680, 16, 546 is 2


2. Where do I get the detailed procedure to find GCD of 932, 680, 16, 546?

You can find a detailed procedure to find GCD of 932, 680, 16, 546 on our page.


3. How to find GCD of 932, 680, 16, 546 on a calculator?

You can find the GCD of 932, 680, 16, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.