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 20, 931, 757, 207 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 931, 757, 207 is 1
GCD(20, 931, 757, 207) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 931, 757, 207 is 1
GCD(20, 931, 757, 207) = 1
Given Input numbers are 20, 931, 757, 207
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Greatest Common Divisior
We found the divisors of 20, 931, 757, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 931, 757, 207 is 1.
Therefore, GCD of numbers 20, 931, 757, 207 is 1
Given Input Data is 20, 931, 757, 207
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 757 is 757
Prime Factorization of 207 is 3 x 3 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(20, 931) = 18620
GCD(20, 931) = ( 20 x 931 ) / 18620
GCD(20, 931) = 18620 / 18620
GCD(20, 931) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
GCD(1, 207) = 207 / 207
GCD(1, 207) = 1
GCD of 20, 931, 757, 207 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 931, 757, 207?
GCD of 20, 931, 757, 207 is 1
2. Where do I get the detailed procedure to find GCD of 20, 931, 757, 207?
You can find a detailed procedure to find GCD of 20, 931, 757, 207 on our page.
3. How to find GCD of 20, 931, 757, 207 on a calculator?
You can find the GCD of 20, 931, 757, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.