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 71, 436, 623, 662 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 436, 623, 662 is 1
GCD(71, 436, 623, 662) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 436, 623, 662 is 1
GCD(71, 436, 623, 662) = 1
Given Input numbers are 71, 436, 623, 662
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 623
List of positive integer divisors of 623 that divides 623 without a remainder.
1, 7, 89, 623
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Greatest Common Divisior
We found the divisors of 71, 436, 623, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 436, 623, 662 is 1.
Therefore, GCD of numbers 71, 436, 623, 662 is 1
Given Input Data is 71, 436, 623, 662
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 623 is 7 x 89
Prime Factorization of 662 is 2 x 331
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(71, 436) = 30956
GCD(71, 436) = ( 71 x 436 ) / 30956
GCD(71, 436) = 30956 / 30956
GCD(71, 436) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 623
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 623) = 623
GCD(1, 623) = ( 1 x 623 ) / 623
GCD(1, 623) = 623 / 623
GCD(1, 623) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 662) = 662
GCD(1, 662) = ( 1 x 662 ) / 662
GCD(1, 662) = 662 / 662
GCD(1, 662) = 1
GCD of 71, 436, 623, 662 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 436, 623, 662?
GCD of 71, 436, 623, 662 is 1
2. Where do I get the detailed procedure to find GCD of 71, 436, 623, 662?
You can find a detailed procedure to find GCD of 71, 436, 623, 662 on our page.
3. How to find GCD of 71, 436, 623, 662 on a calculator?
You can find the GCD of 71, 436, 623, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.