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 740, 990, 36, 337 i.e. 1 largest integer that divides all the numbers equally.
GCD of 740, 990, 36, 337 is 1
GCD(740, 990, 36, 337) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 740, 990, 36, 337 is 1
GCD(740, 990, 36, 337) = 1
Given Input numbers are 740, 990, 36, 337
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Greatest Common Divisior
We found the divisors of 740, 990, 36, 337 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 740, 990, 36, 337 is 1.
Therefore, GCD of numbers 740, 990, 36, 337 is 1
Given Input Data is 740, 990, 36, 337
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 337 is 337
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(740, 990) = 73260
GCD(740, 990) = ( 740 x 990 ) / 73260
GCD(740, 990) = 732600 / 73260
GCD(740, 990) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 36) = 180
GCD(10, 36) = ( 10 x 36 ) / 180
GCD(10, 36) = 360 / 180
GCD(10, 36) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 337) = 674
GCD(2, 337) = ( 2 x 337 ) / 674
GCD(2, 337) = 674 / 674
GCD(2, 337) = 1
GCD of 740, 990, 36, 337 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 740, 990, 36, 337?
GCD of 740, 990, 36, 337 is 1
2. Where do I get the detailed procedure to find GCD of 740, 990, 36, 337?
You can find a detailed procedure to find GCD of 740, 990, 36, 337 on our page.
3. How to find GCD of 740, 990, 36, 337 on a calculator?
You can find the GCD of 740, 990, 36, 337 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.