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 407, 316, 988, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 407, 316, 988, 567 is 1
GCD(407, 316, 988, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 407, 316, 988, 567 is 1
GCD(407, 316, 988, 567) = 1
Given Input numbers are 407, 316, 988, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 407, 316, 988, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 316, 988, 567 is 1.
Therefore, GCD of numbers 407, 316, 988, 567 is 1
Given Input Data is 407, 316, 988, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 407 is 11 x 37
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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(407, 316) = 128612
GCD(407, 316) = ( 407 x 316 ) / 128612
GCD(407, 316) = 128612 / 128612
GCD(407, 316) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 407, 316, 988, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 407, 316, 988, 567?
GCD of 407, 316, 988, 567 is 1
2. Where do I get the detailed procedure to find GCD of 407, 316, 988, 567?
You can find a detailed procedure to find GCD of 407, 316, 988, 567 on our page.
3. How to find GCD of 407, 316, 988, 567 on a calculator?
You can find the GCD of 407, 316, 988, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.