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 165, 370, 44, 526 i.e. 1 largest integer that divides all the numbers equally.
GCD of 165, 370, 44, 526 is 1
GCD(165, 370, 44, 526) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 165, 370, 44, 526 is 1
GCD(165, 370, 44, 526) = 1
Given Input numbers are 165, 370, 44, 526
To find the GCD of numbers using factoring list out all the divisors of each number
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 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Greatest Common Divisior
We found the divisors of 165, 370, 44, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 370, 44, 526 is 1.
Therefore, GCD of numbers 165, 370, 44, 526 is 1
Given Input Data is 165, 370, 44, 526
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 526 is 2 x 263
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(165, 370) = 12210
GCD(165, 370) = ( 165 x 370 ) / 12210
GCD(165, 370) = 61050 / 12210
GCD(165, 370) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 44) = 220
GCD(5, 44) = ( 5 x 44 ) / 220
GCD(5, 44) = 220 / 220
GCD(5, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 526
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 526) = 526
GCD(1, 526) = ( 1 x 526 ) / 526
GCD(1, 526) = 526 / 526
GCD(1, 526) = 1
GCD of 165, 370, 44, 526 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 165, 370, 44, 526?
GCD of 165, 370, 44, 526 is 1
2. Where do I get the detailed procedure to find GCD of 165, 370, 44, 526?
You can find a detailed procedure to find GCD of 165, 370, 44, 526 on our page.
3. How to find GCD of 165, 370, 44, 526 on a calculator?
You can find the GCD of 165, 370, 44, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.