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 604, 418, 74, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 604, 418, 74, 707 is 1
GCD(604, 418, 74, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 604, 418, 74, 707 is 1
GCD(604, 418, 74, 707) = 1
Given Input numbers are 604, 418, 74, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 604, 418, 74, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 418, 74, 707 is 1.
Therefore, GCD of numbers 604, 418, 74, 707 is 1
Given Input Data is 604, 418, 74, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 74 is 2 x 37
Prime Factorization of 707 is 7 x 101
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(604, 418) = 126236
GCD(604, 418) = ( 604 x 418 ) / 126236
GCD(604, 418) = 252472 / 126236
GCD(604, 418) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 74) = 74
GCD(2, 74) = ( 2 x 74 ) / 74
GCD(2, 74) = 148 / 74
GCD(2, 74) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 707) = 1414
GCD(2, 707) = ( 2 x 707 ) / 1414
GCD(2, 707) = 1414 / 1414
GCD(2, 707) = 1
GCD of 604, 418, 74, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 604, 418, 74, 707?
GCD of 604, 418, 74, 707 is 1
2. Where do I get the detailed procedure to find GCD of 604, 418, 74, 707?
You can find a detailed procedure to find GCD of 604, 418, 74, 707 on our page.
3. How to find GCD of 604, 418, 74, 707 on a calculator?
You can find the GCD of 604, 418, 74, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.