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 320, 739, 657, 662 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 739, 657, 662 is 1
GCD(320, 739, 657, 662) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 739, 657, 662 is 1
GCD(320, 739, 657, 662) = 1
Given Input numbers are 320, 739, 657, 662
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Greatest Common Divisior
We found the divisors of 320, 739, 657, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 739, 657, 662 is 1.
Therefore, GCD of numbers 320, 739, 657, 662 is 1
Given Input Data is 320, 739, 657, 662
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 739 is 739
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 662 is 2 x 331
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(320, 739) = 236480
GCD(320, 739) = ( 320 x 739 ) / 236480
GCD(320, 739) = 236480 / 236480
GCD(320, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 657
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 657) = 657
GCD(1, 657) = ( 1 x 657 ) / 657
GCD(1, 657) = 657 / 657
GCD(1, 657) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 662) = 662
GCD(1, 662) = ( 1 x 662 ) / 662
GCD(1, 662) = 662 / 662
GCD(1, 662) = 1
GCD of 320, 739, 657, 662 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 739, 657, 662?
GCD of 320, 739, 657, 662 is 1
2. Where do I get the detailed procedure to find GCD of 320, 739, 657, 662?
You can find a detailed procedure to find GCD of 320, 739, 657, 662 on our page.
3. How to find GCD of 320, 739, 657, 662 on a calculator?
You can find the GCD of 320, 739, 657, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.