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, 822, 669, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 612, 822, 669, 952 is 1
GCD(612, 822, 669, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 612, 822, 669, 952 is 1
GCD(612, 822, 669, 952) = 1
Given Input numbers are 612, 822, 669, 952
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 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 612, 822, 669, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 822, 669, 952 is 1.
Therefore, GCD of numbers 612, 822, 669, 952 is 1
Given Input Data is 612, 822, 669, 952
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 822 is 2 x 3 x 137
Prime Factorization of 669 is 3 x 223
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
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, 822) = 83844
GCD(612, 822) = ( 612 x 822 ) / 83844
GCD(612, 822) = 503064 / 83844
GCD(612, 822) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 669) = 1338
GCD(6, 669) = ( 6 x 669 ) / 1338
GCD(6, 669) = 4014 / 1338
GCD(6, 669) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 952) = 2856
GCD(3, 952) = ( 3 x 952 ) / 2856
GCD(3, 952) = 2856 / 2856
GCD(3, 952) = 1
GCD of 612, 822, 669, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 612, 822, 669, 952?
GCD of 612, 822, 669, 952 is 1
2. Where do I get the detailed procedure to find GCD of 612, 822, 669, 952?
You can find a detailed procedure to find GCD of 612, 822, 669, 952 on our page.
3. How to find GCD of 612, 822, 669, 952 on a calculator?
You can find the GCD of 612, 822, 669, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.