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 642, 661, 329, 364 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 661, 329, 364 is 1
GCD(642, 661, 329, 364) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 661, 329, 364 is 1
GCD(642, 661, 329, 364) = 1
Given Input numbers are 642, 661, 329, 364
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Greatest Common Divisior
We found the divisors of 642, 661, 329, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 661, 329, 364 is 1.
Therefore, GCD of numbers 642, 661, 329, 364 is 1
Given Input Data is 642, 661, 329, 364
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 661 is 661
Prime Factorization of 329 is 7 x 47
Prime Factorization of 364 is 2 x 2 x 7 x 13
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(642, 661) = 424362
GCD(642, 661) = ( 642 x 661 ) / 424362
GCD(642, 661) = 424362 / 424362
GCD(642, 661) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
GCD of 642, 661, 329, 364 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 661, 329, 364?
GCD of 642, 661, 329, 364 is 1
2. Where do I get the detailed procedure to find GCD of 642, 661, 329, 364?
You can find a detailed procedure to find GCD of 642, 661, 329, 364 on our page.
3. How to find GCD of 642, 661, 329, 364 on a calculator?
You can find the GCD of 642, 661, 329, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.