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 967, 431, 10, 501 i.e. 1 largest integer that divides all the numbers equally.
GCD of 967, 431, 10, 501 is 1
GCD(967, 431, 10, 501) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 967, 431, 10, 501 is 1
GCD(967, 431, 10, 501) = 1
Given Input numbers are 967, 431, 10, 501
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Greatest Common Divisior
We found the divisors of 967, 431, 10, 501 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 431, 10, 501 is 1.
Therefore, GCD of numbers 967, 431, 10, 501 is 1
Given Input Data is 967, 431, 10, 501
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 967 is 967
Prime Factorization of 431 is 431
Prime Factorization of 10 is 2 x 5
Prime Factorization of 501 is 3 x 167
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(967, 431) = 416777
GCD(967, 431) = ( 967 x 431 ) / 416777
GCD(967, 431) = 416777 / 416777
GCD(967, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 501
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 501) = 501
GCD(1, 501) = ( 1 x 501 ) / 501
GCD(1, 501) = 501 / 501
GCD(1, 501) = 1
GCD of 967, 431, 10, 501 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 967, 431, 10, 501?
GCD of 967, 431, 10, 501 is 1
2. Where do I get the detailed procedure to find GCD of 967, 431, 10, 501?
You can find a detailed procedure to find GCD of 967, 431, 10, 501 on our page.
3. How to find GCD of 967, 431, 10, 501 on a calculator?
You can find the GCD of 967, 431, 10, 501 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.