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 337, 698, 74, 572 i.e. 1 largest integer that divides all the numbers equally.
GCD of 337, 698, 74, 572 is 1
GCD(337, 698, 74, 572) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 337, 698, 74, 572 is 1
GCD(337, 698, 74, 572) = 1
Given Input numbers are 337, 698, 74, 572
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Greatest Common Divisior
We found the divisors of 337, 698, 74, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 698, 74, 572 is 1.
Therefore, GCD of numbers 337, 698, 74, 572 is 1
Given Input Data is 337, 698, 74, 572
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 337 is 337
Prime Factorization of 698 is 2 x 349
Prime Factorization of 74 is 2 x 37
Prime Factorization of 572 is 2 x 2 x 11 x 13
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(337, 698) = 235226
GCD(337, 698) = ( 337 x 698 ) / 235226
GCD(337, 698) = 235226 / 235226
GCD(337, 698) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
GCD of 337, 698, 74, 572 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 337, 698, 74, 572?
GCD of 337, 698, 74, 572 is 1
2. Where do I get the detailed procedure to find GCD of 337, 698, 74, 572?
You can find a detailed procedure to find GCD of 337, 698, 74, 572 on our page.
3. How to find GCD of 337, 698, 74, 572 on a calculator?
You can find the GCD of 337, 698, 74, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.