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 450, 951, 26, 862 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 951, 26, 862 is 1
GCD(450, 951, 26, 862) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 951, 26, 862 is 1
GCD(450, 951, 26, 862) = 1
Given Input numbers are 450, 951, 26, 862
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Greatest Common Divisior
We found the divisors of 450, 951, 26, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 951, 26, 862 is 1.
Therefore, GCD of numbers 450, 951, 26, 862 is 1
Given Input Data is 450, 951, 26, 862
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 951 is 3 x 317
Prime Factorization of 26 is 2 x 13
Prime Factorization of 862 is 2 x 431
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(450, 951) = 142650
GCD(450, 951) = ( 450 x 951 ) / 142650
GCD(450, 951) = 427950 / 142650
GCD(450, 951) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 26) = 78
GCD(3, 26) = ( 3 x 26 ) / 78
GCD(3, 26) = 78 / 78
GCD(3, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
GCD of 450, 951, 26, 862 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 951, 26, 862?
GCD of 450, 951, 26, 862 is 1
2. Where do I get the detailed procedure to find GCD of 450, 951, 26, 862?
You can find a detailed procedure to find GCD of 450, 951, 26, 862 on our page.
3. How to find GCD of 450, 951, 26, 862 on a calculator?
You can find the GCD of 450, 951, 26, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.