GCD of 67, 207, 976, 213 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 67, 207, 976, 213 i.e. 1 largest integer that divides all the numbers equally.

GCD of 67, 207, 976, 213 is 1

GCD(67, 207, 976, 213) = 1

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

GCD of

GCD of numbers 67, 207, 976, 213 is 1

GCD(67, 207, 976, 213) = 1

GCD of 67,207,976,213 Calculator

GCDof 67,207,976,213 is 1

Given Input numbers are 67, 207, 976, 213

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 67, 207, 976, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 207, 976, 213 is 1.

Therefore, GCD of numbers 67, 207, 976, 213 is 1

Finding GCD of 67, 207, 976, 213 using Prime Factorization

Given Input Data is 67, 207, 976, 213

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

Prime Factorization of 67 is 67

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 213 is 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 67, 207, 976, 213 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(67, 207) = 13869

GCD(67, 207) = ( 67 x 207 ) / 13869

GCD(67, 207) = 13869 / 13869

GCD(67, 207) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 67, 207, 976, 213 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 67, 207, 976, 213

1. What is the GCD of 67, 207, 976, 213?

GCD of 67, 207, 976, 213 is 1


2. Where do I get the detailed procedure to find GCD of 67, 207, 976, 213?

You can find a detailed procedure to find GCD of 67, 207, 976, 213 on our page.


3. How to find GCD of 67, 207, 976, 213 on a calculator?

You can find the GCD of 67, 207, 976, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.