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 552, 431, 458, 662 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 431, 458, 662 is 1
GCD(552, 431, 458, 662) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 431, 458, 662 is 1
GCD(552, 431, 458, 662) = 1
Given Input numbers are 552, 431, 458, 662
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Greatest Common Divisior
We found the divisors of 552, 431, 458, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 431, 458, 662 is 1.
Therefore, GCD of numbers 552, 431, 458, 662 is 1
Given Input Data is 552, 431, 458, 662
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 431 is 431
Prime Factorization of 458 is 2 x 229
Prime Factorization of 662 is 2 x 331
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(552, 431) = 237912
GCD(552, 431) = ( 552 x 431 ) / 237912
GCD(552, 431) = 237912 / 237912
GCD(552, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 662) = 662
GCD(1, 662) = ( 1 x 662 ) / 662
GCD(1, 662) = 662 / 662
GCD(1, 662) = 1
GCD of 552, 431, 458, 662 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 431, 458, 662?
GCD of 552, 431, 458, 662 is 1
2. Where do I get the detailed procedure to find GCD of 552, 431, 458, 662?
You can find a detailed procedure to find GCD of 552, 431, 458, 662 on our page.
3. How to find GCD of 552, 431, 458, 662 on a calculator?
You can find the GCD of 552, 431, 458, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.