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, 437, 452, 119 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 437, 452, 119 is 1
GCD(87, 437, 452, 119) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 437, 452, 119 is 1
GCD(87, 437, 452, 119) = 1
Given Input numbers are 87, 437, 452, 119
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 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Greatest Common Divisior
We found the divisors of 87, 437, 452, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 437, 452, 119 is 1.
Therefore, GCD of numbers 87, 437, 452, 119 is 1
Given Input Data is 87, 437, 452, 119
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 437 is 19 x 23
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 119 is 7 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(87, 437) = 38019
GCD(87, 437) = ( 87 x 437 ) / 38019
GCD(87, 437) = 38019 / 38019
GCD(87, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
GCD of 87, 437, 452, 119 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 437, 452, 119?
GCD of 87, 437, 452, 119 is 1
2. Where do I get the detailed procedure to find GCD of 87, 437, 452, 119?
You can find a detailed procedure to find GCD of 87, 437, 452, 119 on our page.
3. How to find GCD of 87, 437, 452, 119 on a calculator?
You can find the GCD of 87, 437, 452, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.