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, 670, 136, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 670, 136, 361 is 1
GCD(87, 670, 136, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 670, 136, 361 is 1
GCD(87, 670, 136, 361) = 1
Given Input numbers are 87, 670, 136, 361
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 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 136
List of positive integer divisors of 136 that divides 136 without a remainder.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 87, 670, 136, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 670, 136, 361 is 1.
Therefore, GCD of numbers 87, 670, 136, 361 is 1
Given Input Data is 87, 670, 136, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 136 is 2 x 2 x 2 x 17
Prime Factorization of 361 is 19 x 19
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, 670) = 58290
GCD(87, 670) = ( 87 x 670 ) / 58290
GCD(87, 670) = 58290 / 58290
GCD(87, 670) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 136
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 136) = 136
GCD(1, 136) = ( 1 x 136 ) / 136
GCD(1, 136) = 136 / 136
GCD(1, 136) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
GCD of 87, 670, 136, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 670, 136, 361?
GCD of 87, 670, 136, 361 is 1
2. Where do I get the detailed procedure to find GCD of 87, 670, 136, 361?
You can find a detailed procedure to find GCD of 87, 670, 136, 361 on our page.
3. How to find GCD of 87, 670, 136, 361 on a calculator?
You can find the GCD of 87, 670, 136, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.