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 87, 664, 464, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 664, 464, 502 is 1
GCD(87, 664, 464, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 664, 464, 502 is 1
GCD(87, 664, 464, 502) = 1
Given Input numbers are 87, 664, 464, 502
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
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 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 87, 664, 464, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 664, 464, 502 is 1.
Therefore, GCD of numbers 87, 664, 464, 502 is 1
Given Input Data is 87, 664, 464, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
Prime Factorization of 502 is 2 x 251
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(87, 664) = 57768
GCD(87, 664) = ( 87 x 664 ) / 57768
GCD(87, 664) = 57768 / 57768
GCD(87, 664) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
GCD of 87, 664, 464, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 664, 464, 502?
GCD of 87, 664, 464, 502 is 1
2. Where do I get the detailed procedure to find GCD of 87, 664, 464, 502?
You can find a detailed procedure to find GCD of 87, 664, 464, 502 on our page.
3. How to find GCD of 87, 664, 464, 502 on a calculator?
You can find the GCD of 87, 664, 464, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.