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 736, 339, 376, 417 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 339, 376, 417 is 1
GCD(736, 339, 376, 417) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 339, 376, 417 is 1
GCD(736, 339, 376, 417) = 1
Given Input numbers are 736, 339, 376, 417
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Greatest Common Divisior
We found the divisors of 736, 339, 376, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 339, 376, 417 is 1.
Therefore, GCD of numbers 736, 339, 376, 417 is 1
Given Input Data is 736, 339, 376, 417
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 339 is 3 x 113
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 417 is 3 x 139
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(736, 339) = 249504
GCD(736, 339) = ( 736 x 339 ) / 249504
GCD(736, 339) = 249504 / 249504
GCD(736, 339) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 417
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 417) = 417
GCD(1, 417) = ( 1 x 417 ) / 417
GCD(1, 417) = 417 / 417
GCD(1, 417) = 1
GCD of 736, 339, 376, 417 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 339, 376, 417?
GCD of 736, 339, 376, 417 is 1
2. Where do I get the detailed procedure to find GCD of 736, 339, 376, 417?
You can find a detailed procedure to find GCD of 736, 339, 376, 417 on our page.
3. How to find GCD of 736, 339, 376, 417 on a calculator?
You can find the GCD of 736, 339, 376, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.