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 121, 947, 512, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 121, 947, 512, 963 is 1
GCD(121, 947, 512, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 121, 947, 512, 963 is 1
GCD(121, 947, 512, 963) = 1
Given Input numbers are 121, 947, 512, 963
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 121, 947, 512, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 947, 512, 963 is 1.
Therefore, GCD of numbers 121, 947, 512, 963 is 1
Given Input Data is 121, 947, 512, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 121 is 11 x 11
Prime Factorization of 947 is 947
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 963 is 3 x 3 x 107
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(121, 947) = 114587
GCD(121, 947) = ( 121 x 947 ) / 114587
GCD(121, 947) = 114587 / 114587
GCD(121, 947) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
GCD of 121, 947, 512, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 121, 947, 512, 963?
GCD of 121, 947, 512, 963 is 1
2. Where do I get the detailed procedure to find GCD of 121, 947, 512, 963?
You can find a detailed procedure to find GCD of 121, 947, 512, 963 on our page.
3. How to find GCD of 121, 947, 512, 963 on a calculator?
You can find the GCD of 121, 947, 512, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.