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 210, 595, 892, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 210, 595, 892, 950 is 1
GCD(210, 595, 892, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 595, 892, 950 is 1
GCD(210, 595, 892, 950) = 1
Given Input numbers are 210, 595, 892, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
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 210, 595, 892, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 595, 892, 950 is 1.
Therefore, GCD of numbers 210, 595, 892, 950 is 1
Given Input Data is 210, 595, 892, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 892 is 2 x 2 x 223
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(210, 595) = 3570
GCD(210, 595) = ( 210 x 595 ) / 3570
GCD(210, 595) = 124950 / 3570
GCD(210, 595) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 892) = 31220
GCD(35, 892) = ( 35 x 892 ) / 31220
GCD(35, 892) = 31220 / 31220
GCD(35, 892) = 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 210, 595, 892, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 210, 595, 892, 950?
GCD of 210, 595, 892, 950 is 1
2. Where do I get the detailed procedure to find GCD of 210, 595, 892, 950?
You can find a detailed procedure to find GCD of 210, 595, 892, 950 on our page.
3. How to find GCD of 210, 595, 892, 950 on a calculator?
You can find the GCD of 210, 595, 892, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.