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 524, 486, 625, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 524, 486, 625, 860 is 1
GCD(524, 486, 625, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 524, 486, 625, 860 is 1
GCD(524, 486, 625, 860) = 1
Given Input numbers are 524, 486, 625, 860
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 524, 486, 625, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 486, 625, 860 is 1.
Therefore, GCD of numbers 524, 486, 625, 860 is 1
Given Input Data is 524, 486, 625, 860
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 860 is 2 x 2 x 5 x 43
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(524, 486) = 127332
GCD(524, 486) = ( 524 x 486 ) / 127332
GCD(524, 486) = 254664 / 127332
GCD(524, 486) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 625) = 1250
GCD(2, 625) = ( 2 x 625 ) / 1250
GCD(2, 625) = 1250 / 1250
GCD(2, 625) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 524, 486, 625, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 524, 486, 625, 860?
GCD of 524, 486, 625, 860 is 1
2. Where do I get the detailed procedure to find GCD of 524, 486, 625, 860?
You can find a detailed procedure to find GCD of 524, 486, 625, 860 on our page.
3. How to find GCD of 524, 486, 625, 860 on a calculator?
You can find the GCD of 524, 486, 625, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.