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 368, 488, 83, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 368, 488, 83, 737 is 1
GCD(368, 488, 83, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 368, 488, 83, 737 is 1
GCD(368, 488, 83, 737) = 1
Given Input numbers are 368, 488, 83, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 368
List of positive integer divisors of 368 that divides 368 without a remainder.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 368, 488, 83, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 488, 83, 737 is 1.
Therefore, GCD of numbers 368, 488, 83, 737 is 1
Given Input Data is 368, 488, 83, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 83 is 83
Prime Factorization of 737 is 11 x 67
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(368, 488) = 22448
GCD(368, 488) = ( 368 x 488 ) / 22448
GCD(368, 488) = 179584 / 22448
GCD(368, 488) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 83) = 664
GCD(8, 83) = ( 8 x 83 ) / 664
GCD(8, 83) = 664 / 664
GCD(8, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 368, 488, 83, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 368, 488, 83, 737?
GCD of 368, 488, 83, 737 is 1
2. Where do I get the detailed procedure to find GCD of 368, 488, 83, 737?
You can find a detailed procedure to find GCD of 368, 488, 83, 737 on our page.
3. How to find GCD of 368, 488, 83, 737 on a calculator?
You can find the GCD of 368, 488, 83, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.