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 202, 938, 47, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 938, 47, 588 is 1
GCD(202, 938, 47, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 938, 47, 588 is 1
GCD(202, 938, 47, 588) = 1
Given Input numbers are 202, 938, 47, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 202, 938, 47, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 938, 47, 588 is 1.
Therefore, GCD of numbers 202, 938, 47, 588 is 1
Given Input Data is 202, 938, 47, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 47 is 47
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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(202, 938) = 94738
GCD(202, 938) = ( 202 x 938 ) / 94738
GCD(202, 938) = 189476 / 94738
GCD(202, 938) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 47) = 94
GCD(2, 47) = ( 2 x 47 ) / 94
GCD(2, 47) = 94 / 94
GCD(2, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 202, 938, 47, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 938, 47, 588?
GCD of 202, 938, 47, 588 is 1
2. Where do I get the detailed procedure to find GCD of 202, 938, 47, 588?
You can find a detailed procedure to find GCD of 202, 938, 47, 588 on our page.
3. How to find GCD of 202, 938, 47, 588 on a calculator?
You can find the GCD of 202, 938, 47, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.