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, 959, 768, 436 i.e. 1 largest integer that divides all the numbers equally.
GCD of 320, 959, 768, 436 is 1
GCD(320, 959, 768, 436) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 320, 959, 768, 436 is 1
GCD(320, 959, 768, 436) = 1
Given Input numbers are 320, 959, 768, 436
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 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 436
List of positive integer divisors of 436 that divides 436 without a remainder.
1, 2, 4, 109, 218, 436
Greatest Common Divisior
We found the divisors of 320, 959, 768, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 959, 768, 436 is 1.
Therefore, GCD of numbers 320, 959, 768, 436 is 1
Given Input Data is 320, 959, 768, 436
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 959 is 7 x 137
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 436 is 2 x 2 x 109
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, 959) = 306880
GCD(320, 959) = ( 320 x 959 ) / 306880
GCD(320, 959) = 306880 / 306880
GCD(320, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 768
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 768) = 768
GCD(1, 768) = ( 1 x 768 ) / 768
GCD(1, 768) = 768 / 768
GCD(1, 768) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 436
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 436) = 436
GCD(1, 436) = ( 1 x 436 ) / 436
GCD(1, 436) = 436 / 436
GCD(1, 436) = 1
GCD of 320, 959, 768, 436 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 320, 959, 768, 436?
GCD of 320, 959, 768, 436 is 1
2. Where do I get the detailed procedure to find GCD of 320, 959, 768, 436?
You can find a detailed procedure to find GCD of 320, 959, 768, 436 on our page.
3. How to find GCD of 320, 959, 768, 436 on a calculator?
You can find the GCD of 320, 959, 768, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.