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 607, 642, 578, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 607, 642, 578, 361 is 1
GCD(607, 642, 578, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 607, 642, 578, 361 is 1
GCD(607, 642, 578, 361) = 1
Given Input numbers are 607, 642, 578, 361
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
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 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 607, 642, 578, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 607, 642, 578, 361 is 1.
Therefore, GCD of numbers 607, 642, 578, 361 is 1
Given Input Data is 607, 642, 578, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 607 is 607
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 361 is 19 x 19
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(607, 642) = 389694
GCD(607, 642) = ( 607 x 642 ) / 389694
GCD(607, 642) = 389694 / 389694
GCD(607, 642) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 578
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 578) = 578
GCD(1, 578) = ( 1 x 578 ) / 578
GCD(1, 578) = 578 / 578
GCD(1, 578) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
GCD of 607, 642, 578, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 607, 642, 578, 361?
GCD of 607, 642, 578, 361 is 1
2. Where do I get the detailed procedure to find GCD of 607, 642, 578, 361?
You can find a detailed procedure to find GCD of 607, 642, 578, 361 on our page.
3. How to find GCD of 607, 642, 578, 361 on a calculator?
You can find the GCD of 607, 642, 578, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.