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 72, 643, 379, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 643, 379, 261 is 1
GCD(72, 643, 379, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 643, 379, 261 is 1
GCD(72, 643, 379, 261) = 1
Given Input numbers are 72, 643, 379, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 72, 643, 379, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 643, 379, 261 is 1.
Therefore, GCD of numbers 72, 643, 379, 261 is 1
Given Input Data is 72, 643, 379, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 643 is 643
Prime Factorization of 379 is 379
Prime Factorization of 261 is 3 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
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(72, 643) = 46296
GCD(72, 643) = ( 72 x 643 ) / 46296
GCD(72, 643) = 46296 / 46296
GCD(72, 643) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 72, 643, 379, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 643, 379, 261?
GCD of 72, 643, 379, 261 is 1
2. Where do I get the detailed procedure to find GCD of 72, 643, 379, 261?
You can find a detailed procedure to find GCD of 72, 643, 379, 261 on our page.
3. How to find GCD of 72, 643, 379, 261 on a calculator?
You can find the GCD of 72, 643, 379, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.