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 612, 417, 70, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 612, 417, 70, 361 is 1
GCD(612, 417, 70, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 417, 70, 361 is 1
GCD(612, 417, 70, 361) = 1
Given Input numbers are 612, 417, 70, 361
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
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 612, 417, 70, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 417, 70, 361 is 1.
Therefore, GCD of numbers 612, 417, 70, 361 is 1
Given Input Data is 612, 417, 70, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 417 is 3 x 139
Prime Factorization of 70 is 2 x 5 x 7
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(612, 417) = 85068
GCD(612, 417) = ( 612 x 417 ) / 85068
GCD(612, 417) = 255204 / 85068
GCD(612, 417) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 70) = 210
GCD(3, 70) = ( 3 x 70 ) / 210
GCD(3, 70) = 210 / 210
GCD(3, 70) = 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 612, 417, 70, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 417, 70, 361?
GCD of 612, 417, 70, 361 is 1
2. Where do I get the detailed procedure to find GCD of 612, 417, 70, 361?
You can find a detailed procedure to find GCD of 612, 417, 70, 361 on our page.
3. How to find GCD of 612, 417, 70, 361 on a calculator?
You can find the GCD of 612, 417, 70, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.