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 435, 772, 12, 370 i.e. 1 largest integer that divides all the numbers equally.
GCD of 435, 772, 12, 370 is 1
GCD(435, 772, 12, 370) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 435, 772, 12, 370 is 1
GCD(435, 772, 12, 370) = 1
Given Input numbers are 435, 772, 12, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 435, 772, 12, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 772, 12, 370 is 1.
Therefore, GCD of numbers 435, 772, 12, 370 is 1
Given Input Data is 435, 772, 12, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 370 is 2 x 5 x 37
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(435, 772) = 335820
GCD(435, 772) = ( 435 x 772 ) / 335820
GCD(435, 772) = 335820 / 335820
GCD(435, 772) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
GCD of 435, 772, 12, 370 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 435, 772, 12, 370?
GCD of 435, 772, 12, 370 is 1
2. Where do I get the detailed procedure to find GCD of 435, 772, 12, 370?
You can find a detailed procedure to find GCD of 435, 772, 12, 370 on our page.
3. How to find GCD of 435, 772, 12, 370 on a calculator?
You can find the GCD of 435, 772, 12, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.