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, 852, 266, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 852, 266, 561 is 1
GCD(370, 852, 266, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 852, 266, 561 is 1
GCD(370, 852, 266, 561) = 1
Given Input numbers are 370, 852, 266, 561
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 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 370, 852, 266, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 852, 266, 561 is 1.
Therefore, GCD of numbers 370, 852, 266, 561 is 1
Given Input Data is 370, 852, 266, 561
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 852 is 2 x 2 x 3 x 71
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 561 is 3 x 11 x 17
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, 852) = 157620
GCD(370, 852) = ( 370 x 852 ) / 157620
GCD(370, 852) = 315240 / 157620
GCD(370, 852) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 266) = 266
GCD(2, 266) = ( 2 x 266 ) / 266
GCD(2, 266) = 532 / 266
GCD(2, 266) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 561) = 1122
GCD(2, 561) = ( 2 x 561 ) / 1122
GCD(2, 561) = 1122 / 1122
GCD(2, 561) = 1
GCD of 370, 852, 266, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 852, 266, 561?
GCD of 370, 852, 266, 561 is 1
2. Where do I get the detailed procedure to find GCD of 370, 852, 266, 561?
You can find a detailed procedure to find GCD of 370, 852, 266, 561 on our page.
3. How to find GCD of 370, 852, 266, 561 on a calculator?
You can find the GCD of 370, 852, 266, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.