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 976, 486, 201, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 486, 201, 203 is 1
GCD(976, 486, 201, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 486, 201, 203 is 1
GCD(976, 486, 201, 203) = 1
Given Input numbers are 976, 486, 201, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
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
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 976, 486, 201, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 486, 201, 203 is 1.
Therefore, GCD of numbers 976, 486, 201, 203 is 1
Given Input Data is 976, 486, 201, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 201 is 3 x 67
Prime Factorization of 203 is 7 x 29
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(976, 486) = 237168
GCD(976, 486) = ( 976 x 486 ) / 237168
GCD(976, 486) = 474336 / 237168
GCD(976, 486) = 2
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
GCD of 976, 486, 201, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 486, 201, 203?
GCD of 976, 486, 201, 203 is 1
2. Where do I get the detailed procedure to find GCD of 976, 486, 201, 203?
You can find a detailed procedure to find GCD of 976, 486, 201, 203 on our page.
3. How to find GCD of 976, 486, 201, 203 on a calculator?
You can find the GCD of 976, 486, 201, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.