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 939, 972, 202, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 939, 972, 202, 575 is 1
GCD(939, 972, 202, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 939, 972, 202, 575 is 1
GCD(939, 972, 202, 575) = 1
Given Input numbers are 939, 972, 202, 575
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 939
List of positive integer divisors of 939 that divides 939 without a remainder.
1, 3, 313, 939
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 939, 972, 202, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 972, 202, 575 is 1.
Therefore, GCD of numbers 939, 972, 202, 575 is 1
Given Input Data is 939, 972, 202, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 939 is 3 x 313
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 202 is 2 x 101
Prime Factorization of 575 is 5 x 5 x 23
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(939, 972) = 304236
GCD(939, 972) = ( 939 x 972 ) / 304236
GCD(939, 972) = 912708 / 304236
GCD(939, 972) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 202) = 606
GCD(3, 202) = ( 3 x 202 ) / 606
GCD(3, 202) = 606 / 606
GCD(3, 202) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 939, 972, 202, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 939, 972, 202, 575?
GCD of 939, 972, 202, 575 is 1
2. Where do I get the detailed procedure to find GCD of 939, 972, 202, 575?
You can find a detailed procedure to find GCD of 939, 972, 202, 575 on our page.
3. How to find GCD of 939, 972, 202, 575 on a calculator?
You can find the GCD of 939, 972, 202, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.