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 412, 574, 645, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 574, 645, 962 is 1
GCD(412, 574, 645, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 574, 645, 962 is 1
GCD(412, 574, 645, 962) = 1
Given Input numbers are 412, 574, 645, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 412, 574, 645, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 574, 645, 962 is 1.
Therefore, GCD of numbers 412, 574, 645, 962 is 1
Given Input Data is 412, 574, 645, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 645 is 3 x 5 x 43
Prime Factorization of 962 is 2 x 13 x 37
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(412, 574) = 118244
GCD(412, 574) = ( 412 x 574 ) / 118244
GCD(412, 574) = 236488 / 118244
GCD(412, 574) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 645) = 1290
GCD(2, 645) = ( 2 x 645 ) / 1290
GCD(2, 645) = 1290 / 1290
GCD(2, 645) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 412, 574, 645, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 574, 645, 962?
GCD of 412, 574, 645, 962 is 1
2. Where do I get the detailed procedure to find GCD of 412, 574, 645, 962?
You can find a detailed procedure to find GCD of 412, 574, 645, 962 on our page.
3. How to find GCD of 412, 574, 645, 962 on a calculator?
You can find the GCD of 412, 574, 645, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.