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 812, 624, 577, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 812, 624, 577, 995 is 1
GCD(812, 624, 577, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 624, 577, 995 is 1
GCD(812, 624, 577, 995) = 1
Given Input numbers are 812, 624, 577, 995
To find the GCD of numbers using factoring list out all the divisors of each number
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 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 812, 624, 577, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 624, 577, 995 is 1.
Therefore, GCD of numbers 812, 624, 577, 995 is 1
Given Input Data is 812, 624, 577, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
Prime Factorization of 577 is 577
Prime Factorization of 995 is 5 x 199
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(812, 624) = 126672
GCD(812, 624) = ( 812 x 624 ) / 126672
GCD(812, 624) = 506688 / 126672
GCD(812, 624) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 577
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 577) = 2308
GCD(4, 577) = ( 4 x 577 ) / 2308
GCD(4, 577) = 2308 / 2308
GCD(4, 577) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
GCD(1, 995) = 995 / 995
GCD(1, 995) = 1
GCD of 812, 624, 577, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 624, 577, 995?
GCD of 812, 624, 577, 995 is 1
2. Where do I get the detailed procedure to find GCD of 812, 624, 577, 995?
You can find a detailed procedure to find GCD of 812, 624, 577, 995 on our page.
3. How to find GCD of 812, 624, 577, 995 on a calculator?
You can find the GCD of 812, 624, 577, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.