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, 334, 20, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 334, 20, 900 is 1
GCD(957, 334, 20, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 334, 20, 900 is 1
GCD(957, 334, 20, 900) = 1
Given Input numbers are 957, 334, 20, 900
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 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 957, 334, 20, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 334, 20, 900 is 1.
Therefore, GCD of numbers 957, 334, 20, 900 is 1
Given Input Data is 957, 334, 20, 900
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 334 is 2 x 167
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 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, 334) = 319638
GCD(957, 334) = ( 957 x 334 ) / 319638
GCD(957, 334) = 319638 / 319638
GCD(957, 334) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
GCD of 957, 334, 20, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 334, 20, 900?
GCD of 957, 334, 20, 900 is 1
2. Where do I get the detailed procedure to find GCD of 957, 334, 20, 900?
You can find a detailed procedure to find GCD of 957, 334, 20, 900 on our page.
3. How to find GCD of 957, 334, 20, 900 on a calculator?
You can find the GCD of 957, 334, 20, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.