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 962, 664, 73, 415 i.e. 1 largest integer that divides all the numbers equally.
GCD of 962, 664, 73, 415 is 1
GCD(962, 664, 73, 415) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 962, 664, 73, 415 is 1
GCD(962, 664, 73, 415) = 1
Given Input numbers are 962, 664, 73, 415
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Greatest Common Divisior
We found the divisors of 962, 664, 73, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 664, 73, 415 is 1.
Therefore, GCD of numbers 962, 664, 73, 415 is 1
Given Input Data is 962, 664, 73, 415
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 73 is 73
Prime Factorization of 415 is 5 x 83
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(962, 664) = 319384
GCD(962, 664) = ( 962 x 664 ) / 319384
GCD(962, 664) = 638768 / 319384
GCD(962, 664) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 415
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 415) = 415
GCD(1, 415) = ( 1 x 415 ) / 415
GCD(1, 415) = 415 / 415
GCD(1, 415) = 1
GCD of 962, 664, 73, 415 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 962, 664, 73, 415?
GCD of 962, 664, 73, 415 is 1
2. Where do I get the detailed procedure to find GCD of 962, 664, 73, 415?
You can find a detailed procedure to find GCD of 962, 664, 73, 415 on our page.
3. How to find GCD of 962, 664, 73, 415 on a calculator?
You can find the GCD of 962, 664, 73, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.