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 564, 525, 534, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 564, 525, 534, 386 is 1
GCD(564, 525, 534, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 564, 525, 534, 386 is 1
GCD(564, 525, 534, 386) = 1
Given Input numbers are 564, 525, 534, 386
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 564, 525, 534, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 525, 534, 386 is 1.
Therefore, GCD of numbers 564, 525, 534, 386 is 1
Given Input Data is 564, 525, 534, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 386 is 2 x 193
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(564, 525) = 98700
GCD(564, 525) = ( 564 x 525 ) / 98700
GCD(564, 525) = 296100 / 98700
GCD(564, 525) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 534) = 534
GCD(3, 534) = ( 3 x 534 ) / 534
GCD(3, 534) = 1602 / 534
GCD(3, 534) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 386) = 1158
GCD(3, 386) = ( 3 x 386 ) / 1158
GCD(3, 386) = 1158 / 1158
GCD(3, 386) = 1
GCD of 564, 525, 534, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 564, 525, 534, 386?
GCD of 564, 525, 534, 386 is 1
2. Where do I get the detailed procedure to find GCD of 564, 525, 534, 386?
You can find a detailed procedure to find GCD of 564, 525, 534, 386 on our page.
3. How to find GCD of 564, 525, 534, 386 on a calculator?
You can find the GCD of 564, 525, 534, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.