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 957, 906, 208, 960 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 906, 208, 960 is 1
GCD(957, 906, 208, 960) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 906, 208, 960 is 1
GCD(957, 906, 208, 960) = 1
Given Input numbers are 957, 906, 208, 960
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Greatest Common Divisior
We found the divisors of 957, 906, 208, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 906, 208, 960 is 1.
Therefore, GCD of numbers 957, 906, 208, 960 is 1
Given Input Data is 957, 906, 208, 960
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
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(957, 906) = 289014
GCD(957, 906) = ( 957 x 906 ) / 289014
GCD(957, 906) = 867042 / 289014
GCD(957, 906) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 208) = 624
GCD(3, 208) = ( 3 x 208 ) / 624
GCD(3, 208) = 624 / 624
GCD(3, 208) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
GCD(1, 960) = 960 / 960
GCD(1, 960) = 1
GCD of 957, 906, 208, 960 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 906, 208, 960?
GCD of 957, 906, 208, 960 is 1
2. Where do I get the detailed procedure to find GCD of 957, 906, 208, 960?
You can find a detailed procedure to find GCD of 957, 906, 208, 960 on our page.
3. How to find GCD of 957, 906, 208, 960 on a calculator?
You can find the GCD of 957, 906, 208, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.