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 987, 474, 40, 578 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 474, 40, 578 is 1
GCD(987, 474, 40, 578) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 474, 40, 578 is 1
GCD(987, 474, 40, 578) = 1
Given Input numbers are 987, 474, 40, 578
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Greatest Common Divisior
We found the divisors of 987, 474, 40, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 474, 40, 578 is 1.
Therefore, GCD of numbers 987, 474, 40, 578 is 1
Given Input Data is 987, 474, 40, 578
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 578 is 2 x 17 x 17
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(987, 474) = 155946
GCD(987, 474) = ( 987 x 474 ) / 155946
GCD(987, 474) = 467838 / 155946
GCD(987, 474) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 40) = 120
GCD(3, 40) = ( 3 x 40 ) / 120
GCD(3, 40) = 120 / 120
GCD(3, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 578
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 578) = 578
GCD(1, 578) = ( 1 x 578 ) / 578
GCD(1, 578) = 578 / 578
GCD(1, 578) = 1
GCD of 987, 474, 40, 578 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 474, 40, 578?
GCD of 987, 474, 40, 578 is 1
2. Where do I get the detailed procedure to find GCD of 987, 474, 40, 578?
You can find a detailed procedure to find GCD of 987, 474, 40, 578 on our page.
3. How to find GCD of 987, 474, 40, 578 on a calculator?
You can find the GCD of 987, 474, 40, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.