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 370, 165, 964, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 165, 964, 772 is 1
GCD(370, 165, 964, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 165, 964, 772 is 1
GCD(370, 165, 964, 772) = 1
Given Input numbers are 370, 165, 964, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 370, 165, 964, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 165, 964, 772 is 1.
Therefore, GCD of numbers 370, 165, 964, 772 is 1
Given Input Data is 370, 165, 964, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 772 is 2 x 2 x 193
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(370, 165) = 12210
GCD(370, 165) = ( 370 x 165 ) / 12210
GCD(370, 165) = 61050 / 12210
GCD(370, 165) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 964) = 4820
GCD(5, 964) = ( 5 x 964 ) / 4820
GCD(5, 964) = 4820 / 4820
GCD(5, 964) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 370, 165, 964, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 165, 964, 772?
GCD of 370, 165, 964, 772 is 1
2. Where do I get the detailed procedure to find GCD of 370, 165, 964, 772?
You can find a detailed procedure to find GCD of 370, 165, 964, 772 on our page.
3. How to find GCD of 370, 165, 964, 772 on a calculator?
You can find the GCD of 370, 165, 964, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.