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, 675, 53, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 370, 675, 53, 950 is 1
GCD(370, 675, 53, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 675, 53, 950 is 1
GCD(370, 675, 53, 950) = 1
Given Input numbers are 370, 675, 53, 950
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 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 370, 675, 53, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 675, 53, 950 is 1.
Therefore, GCD of numbers 370, 675, 53, 950 is 1
Given Input Data is 370, 675, 53, 950
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 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 53 is 53
Prime Factorization of 950 is 2 x 5 x 5 x 19
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, 675) = 49950
GCD(370, 675) = ( 370 x 675 ) / 49950
GCD(370, 675) = 249750 / 49950
GCD(370, 675) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 53) = 265
GCD(5, 53) = ( 5 x 53 ) / 265
GCD(5, 53) = 265 / 265
GCD(5, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 950) = 950
GCD(1, 950) = ( 1 x 950 ) / 950
GCD(1, 950) = 950 / 950
GCD(1, 950) = 1
GCD of 370, 675, 53, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 675, 53, 950?
GCD of 370, 675, 53, 950 is 1
2. Where do I get the detailed procedure to find GCD of 370, 675, 53, 950?
You can find a detailed procedure to find GCD of 370, 675, 53, 950 on our page.
3. How to find GCD of 370, 675, 53, 950 on a calculator?
You can find the GCD of 370, 675, 53, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.