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, 282, 75, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 282, 75, 536 is 1
GCD(370, 282, 75, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 282, 75, 536 is 1
GCD(370, 282, 75, 536) = 1
Given Input numbers are 370, 282, 75, 536
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 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 370, 282, 75, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 282, 75, 536 is 1.
Therefore, GCD of numbers 370, 282, 75, 536 is 1
Given Input Data is 370, 282, 75, 536
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 282 is 2 x 3 x 47
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 536 is 2 x 2 x 2 x 67
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, 282) = 52170
GCD(370, 282) = ( 370 x 282 ) / 52170
GCD(370, 282) = 104340 / 52170
GCD(370, 282) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 370, 282, 75, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 282, 75, 536?
GCD of 370, 282, 75, 536 is 1
2. Where do I get the detailed procedure to find GCD of 370, 282, 75, 536?
You can find a detailed procedure to find GCD of 370, 282, 75, 536 on our page.
3. How to find GCD of 370, 282, 75, 536 on a calculator?
You can find the GCD of 370, 282, 75, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.