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 572, 588, 414, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 572, 588, 414, 891 is 1
GCD(572, 588, 414, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 588, 414, 891 is 1
GCD(572, 588, 414, 891) = 1
Given Input numbers are 572, 588, 414, 891
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 572, 588, 414, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 588, 414, 891 is 1.
Therefore, GCD of numbers 572, 588, 414, 891 is 1
Given Input Data is 572, 588, 414, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
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(572, 588) = 84084
GCD(572, 588) = ( 572 x 588 ) / 84084
GCD(572, 588) = 336336 / 84084
GCD(572, 588) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 414) = 828
GCD(4, 414) = ( 4 x 414 ) / 828
GCD(4, 414) = 1656 / 828
GCD(4, 414) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 891) = 1782
GCD(2, 891) = ( 2 x 891 ) / 1782
GCD(2, 891) = 1782 / 1782
GCD(2, 891) = 1
GCD of 572, 588, 414, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 588, 414, 891?
GCD of 572, 588, 414, 891 is 1
2. Where do I get the detailed procedure to find GCD of 572, 588, 414, 891?
You can find a detailed procedure to find GCD of 572, 588, 414, 891 on our page.
3. How to find GCD of 572, 588, 414, 891 on a calculator?
You can find the GCD of 572, 588, 414, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.