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 420, 469, 58, 528 i.e. 1 largest integer that divides all the numbers equally.
GCD of 420, 469, 58, 528 is 1
GCD(420, 469, 58, 528) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 420, 469, 58, 528 is 1
GCD(420, 469, 58, 528) = 1
Given Input numbers are 420, 469, 58, 528
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Greatest Common Divisior
We found the divisors of 420, 469, 58, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 469, 58, 528 is 1.
Therefore, GCD of numbers 420, 469, 58, 528 is 1
Given Input Data is 420, 469, 58, 528
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 469 is 7 x 67
Prime Factorization of 58 is 2 x 29
Prime Factorization of 528 is 2 x 2 x 2 x 2 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(420, 469) = 28140
GCD(420, 469) = ( 420 x 469 ) / 28140
GCD(420, 469) = 196980 / 28140
GCD(420, 469) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 58) = 406
GCD(7, 58) = ( 7 x 58 ) / 406
GCD(7, 58) = 406 / 406
GCD(7, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
GCD of 420, 469, 58, 528 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 420, 469, 58, 528?
GCD of 420, 469, 58, 528 is 1
2. Where do I get the detailed procedure to find GCD of 420, 469, 58, 528?
You can find a detailed procedure to find GCD of 420, 469, 58, 528 on our page.
3. How to find GCD of 420, 469, 58, 528 on a calculator?
You can find the GCD of 420, 469, 58, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.