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 610, 654, 486, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 610, 654, 486, 201 is 1
GCD(610, 654, 486, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 610, 654, 486, 201 is 1
GCD(610, 654, 486, 201) = 1
Given Input numbers are 610, 654, 486, 201
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
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 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Greatest Common Divisior
We found the divisors of 610, 654, 486, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 654, 486, 201 is 1.
Therefore, GCD of numbers 610, 654, 486, 201 is 1
Given Input Data is 610, 654, 486, 201
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 201 is 3 x 67
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(610, 654) = 199470
GCD(610, 654) = ( 610 x 654 ) / 199470
GCD(610, 654) = 398940 / 199470
GCD(610, 654) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 486) = 486
GCD(2, 486) = ( 2 x 486 ) / 486
GCD(2, 486) = 972 / 486
GCD(2, 486) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 201) = 402
GCD(2, 201) = ( 2 x 201 ) / 402
GCD(2, 201) = 402 / 402
GCD(2, 201) = 1
GCD of 610, 654, 486, 201 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 610, 654, 486, 201?
GCD of 610, 654, 486, 201 is 1
2. Where do I get the detailed procedure to find GCD of 610, 654, 486, 201?
You can find a detailed procedure to find GCD of 610, 654, 486, 201 on our page.
3. How to find GCD of 610, 654, 486, 201 on a calculator?
You can find the GCD of 610, 654, 486, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.