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 603, 960, 977, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 603, 960, 977, 491 is 1
GCD(603, 960, 977, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 603, 960, 977, 491 is 1
GCD(603, 960, 977, 491) = 1
Given Input numbers are 603, 960, 977, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 603, 960, 977, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 603, 960, 977, 491 is 1.
Therefore, GCD of numbers 603, 960, 977, 491 is 1
Given Input Data is 603, 960, 977, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 977 is 977
Prime Factorization of 491 is 491
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(603, 960) = 192960
GCD(603, 960) = ( 603 x 960 ) / 192960
GCD(603, 960) = 578880 / 192960
GCD(603, 960) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 977) = 2931
GCD(3, 977) = ( 3 x 977 ) / 2931
GCD(3, 977) = 2931 / 2931
GCD(3, 977) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 603, 960, 977, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 603, 960, 977, 491?
GCD of 603, 960, 977, 491 is 1
2. Where do I get the detailed procedure to find GCD of 603, 960, 977, 491?
You can find a detailed procedure to find GCD of 603, 960, 977, 491 on our page.
3. How to find GCD of 603, 960, 977, 491 on a calculator?
You can find the GCD of 603, 960, 977, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.