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, 664, 832, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 664, 832, 201 is 1
GCD(976, 664, 832, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 664, 832, 201 is 1
GCD(976, 664, 832, 201) = 1
Given Input numbers are 976, 664, 832, 201
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 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
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 976, 664, 832, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 664, 832, 201 is 1.
Therefore, GCD of numbers 976, 664, 832, 201 is 1
Given Input Data is 976, 664, 832, 201
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 664 is 2 x 2 x 2 x 83
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
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(976, 664) = 81008
GCD(976, 664) = ( 976 x 664 ) / 81008
GCD(976, 664) = 648064 / 81008
GCD(976, 664) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 832
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 832) = 832
GCD(8, 832) = ( 8 x 832 ) / 832
GCD(8, 832) = 6656 / 832
GCD(8, 832) = 8
Step3:
Here we consider the GCD from the above i.e. 8 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 201) = 1608
GCD(8, 201) = ( 8 x 201 ) / 1608
GCD(8, 201) = 1608 / 1608
GCD(8, 201) = 1
GCD of 976, 664, 832, 201 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 664, 832, 201?
GCD of 976, 664, 832, 201 is 1
2. Where do I get the detailed procedure to find GCD of 976, 664, 832, 201?
You can find a detailed procedure to find GCD of 976, 664, 832, 201 on our page.
3. How to find GCD of 976, 664, 832, 201 on a calculator?
You can find the GCD of 976, 664, 832, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.