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 437, 798, 85, 498 i.e. 1 largest integer that divides all the numbers equally.
GCD of 437, 798, 85, 498 is 1
GCD(437, 798, 85, 498) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 437, 798, 85, 498 is 1
GCD(437, 798, 85, 498) = 1
Given Input numbers are 437, 798, 85, 498
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Greatest Common Divisior
We found the divisors of 437, 798, 85, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 798, 85, 498 is 1.
Therefore, GCD of numbers 437, 798, 85, 498 is 1
Given Input Data is 437, 798, 85, 498
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 437 is 19 x 23
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 85 is 5 x 17
Prime Factorization of 498 is 2 x 3 x 83
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(437, 798) = 18354
GCD(437, 798) = ( 437 x 798 ) / 18354
GCD(437, 798) = 348726 / 18354
GCD(437, 798) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 85) = 1615
GCD(19, 85) = ( 19 x 85 ) / 1615
GCD(19, 85) = 1615 / 1615
GCD(19, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
GCD of 437, 798, 85, 498 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 437, 798, 85, 498?
GCD of 437, 798, 85, 498 is 1
2. Where do I get the detailed procedure to find GCD of 437, 798, 85, 498?
You can find a detailed procedure to find GCD of 437, 798, 85, 498 on our page.
3. How to find GCD of 437, 798, 85, 498 on a calculator?
You can find the GCD of 437, 798, 85, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.