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 951, 174, 21, 963 i.e. 3 largest integer that divides all the numbers equally.
GCD of 951, 174, 21, 963 is 3
GCD(951, 174, 21, 963) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 951, 174, 21, 963 is 3
GCD(951, 174, 21, 963) = 3
Given Input numbers are 951, 174, 21, 963
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
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 951, 174, 21, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 951, 174, 21, 963 is 3.
Therefore, GCD of numbers 951, 174, 21, 963 is 3
Given Input Data is 951, 174, 21, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 951 is 3 x 317
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 21 is 3 x 7
Prime Factorization of 963 is 3 x 3 x 107
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(951, 174) = 55158
GCD(951, 174) = ( 951 x 174 ) / 55158
GCD(951, 174) = 165474 / 55158
GCD(951, 174) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
GCD(3, 21) = 63 / 21
GCD(3, 21) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 963) = 963
GCD(3, 963) = ( 3 x 963 ) / 963
GCD(3, 963) = 2889 / 963
GCD(3, 963) = 3
GCD of 951, 174, 21, 963 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 951, 174, 21, 963?
GCD of 951, 174, 21, 963 is 3
2. Where do I get the detailed procedure to find GCD of 951, 174, 21, 963?
You can find a detailed procedure to find GCD of 951, 174, 21, 963 on our page.
3. How to find GCD of 951, 174, 21, 963 on a calculator?
You can find the GCD of 951, 174, 21, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.