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 774, 821, 470, 552 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 821, 470, 552 is 1
GCD(774, 821, 470, 552) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 821, 470, 552 is 1
GCD(774, 821, 470, 552) = 1
Given Input numbers are 774, 821, 470, 552
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Greatest Common Divisior
We found the divisors of 774, 821, 470, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 821, 470, 552 is 1.
Therefore, GCD of numbers 774, 821, 470, 552 is 1
Given Input Data is 774, 821, 470, 552
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 821 is 821
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
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(774, 821) = 635454
GCD(774, 821) = ( 774 x 821 ) / 635454
GCD(774, 821) = 635454 / 635454
GCD(774, 821) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
GCD of 774, 821, 470, 552 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 821, 470, 552?
GCD of 774, 821, 470, 552 is 1
2. Where do I get the detailed procedure to find GCD of 774, 821, 470, 552?
You can find a detailed procedure to find GCD of 774, 821, 470, 552 on our page.
3. How to find GCD of 774, 821, 470, 552 on a calculator?
You can find the GCD of 774, 821, 470, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.