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, 947, 910, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 947, 910, 739 is 1
GCD(20, 947, 910, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 947, 910, 739 is 1
GCD(20, 947, 910, 739) = 1
Given Input numbers are 20, 947, 910, 739
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 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 20, 947, 910, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 947, 910, 739 is 1.
Therefore, GCD of numbers 20, 947, 910, 739 is 1
Given Input Data is 20, 947, 910, 739
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 947 is 947
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 739 is 739
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, 947) = 18940
GCD(20, 947) = ( 20 x 947 ) / 18940
GCD(20, 947) = 18940 / 18940
GCD(20, 947) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
GCD(1, 910) = 910 / 910
GCD(1, 910) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 739) = 739
GCD(1, 739) = ( 1 x 739 ) / 739
GCD(1, 739) = 739 / 739
GCD(1, 739) = 1
GCD of 20, 947, 910, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 947, 910, 739?
GCD of 20, 947, 910, 739 is 1
2. Where do I get the detailed procedure to find GCD of 20, 947, 910, 739?
You can find a detailed procedure to find GCD of 20, 947, 910, 739 on our page.
3. How to find GCD of 20, 947, 910, 739 on a calculator?
You can find the GCD of 20, 947, 910, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.