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 436, 674, 34, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 436, 674, 34, 437 is 1
GCD(436, 674, 34, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 436, 674, 34, 437 is 1
GCD(436, 674, 34, 437) = 1
Given Input numbers are 436, 674, 34, 437
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 436, 674, 34, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 436, 674, 34, 437 is 1.
Therefore, GCD of numbers 436, 674, 34, 437 is 1
Given Input Data is 436, 674, 34, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 436 is 2 x 2 x 109
Prime Factorization of 674 is 2 x 337
Prime Factorization of 34 is 2 x 17
Prime Factorization of 437 is 19 x 23
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(436, 674) = 146932
GCD(436, 674) = ( 436 x 674 ) / 146932
GCD(436, 674) = 293864 / 146932
GCD(436, 674) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
GCD(2, 34) = 68 / 34
GCD(2, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 437) = 874
GCD(2, 437) = ( 2 x 437 ) / 874
GCD(2, 437) = 874 / 874
GCD(2, 437) = 1
GCD of 436, 674, 34, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 436, 674, 34, 437?
GCD of 436, 674, 34, 437 is 1
2. Where do I get the detailed procedure to find GCD of 436, 674, 34, 437?
You can find a detailed procedure to find GCD of 436, 674, 34, 437 on our page.
3. How to find GCD of 436, 674, 34, 437 on a calculator?
You can find the GCD of 436, 674, 34, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.