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 105, 607, 812, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 607, 812, 604 is 1
GCD(105, 607, 812, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 607, 812, 604 is 1
GCD(105, 607, 812, 604) = 1
Given Input numbers are 105, 607, 812, 604
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 607
List of positive integer divisors of 607 that divides 607 without a remainder.
1, 607
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 105, 607, 812, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 607, 812, 604 is 1.
Therefore, GCD of numbers 105, 607, 812, 604 is 1
Given Input Data is 105, 607, 812, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 607 is 607
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 604 is 2 x 2 x 151
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(105, 607) = 63735
GCD(105, 607) = ( 105 x 607 ) / 63735
GCD(105, 607) = 63735 / 63735
GCD(105, 607) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 105, 607, 812, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 607, 812, 604?
GCD of 105, 607, 812, 604 is 1
2. Where do I get the detailed procedure to find GCD of 105, 607, 812, 604?
You can find a detailed procedure to find GCD of 105, 607, 812, 604 on our page.
3. How to find GCD of 105, 607, 812, 604 on a calculator?
You can find the GCD of 105, 607, 812, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.