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 12, 754, 236, 967 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 754, 236, 967 is 1
GCD(12, 754, 236, 967) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 754, 236, 967 is 1
GCD(12, 754, 236, 967) = 1
Given Input numbers are 12, 754, 236, 967
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Greatest Common Divisior
We found the divisors of 12, 754, 236, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 754, 236, 967 is 1.
Therefore, GCD of numbers 12, 754, 236, 967 is 1
Given Input Data is 12, 754, 236, 967
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 967 is 967
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(12, 754) = 4524
GCD(12, 754) = ( 12 x 754 ) / 4524
GCD(12, 754) = 9048 / 4524
GCD(12, 754) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
GCD(2, 236) = 472 / 236
GCD(2, 236) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 967) = 1934
GCD(2, 967) = ( 2 x 967 ) / 1934
GCD(2, 967) = 1934 / 1934
GCD(2, 967) = 1
GCD of 12, 754, 236, 967 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 754, 236, 967?
GCD of 12, 754, 236, 967 is 1
2. Where do I get the detailed procedure to find GCD of 12, 754, 236, 967?
You can find a detailed procedure to find GCD of 12, 754, 236, 967 on our page.
3. How to find GCD of 12, 754, 236, 967 on a calculator?
You can find the GCD of 12, 754, 236, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.