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 120, 611, 910, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 611, 910, 731 is 1
GCD(120, 611, 910, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 611, 910, 731 is 1
GCD(120, 611, 910, 731) = 1
Given Input numbers are 120, 611, 910, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
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 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 120, 611, 910, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 611, 910, 731 is 1.
Therefore, GCD of numbers 120, 611, 910, 731 is 1
Given Input Data is 120, 611, 910, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 611 is 13 x 47
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 731 is 17 x 43
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(120, 611) = 73320
GCD(120, 611) = ( 120 x 611 ) / 73320
GCD(120, 611) = 73320 / 73320
GCD(120, 611) = 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 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 120, 611, 910, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 611, 910, 731?
GCD of 120, 611, 910, 731 is 1
2. Where do I get the detailed procedure to find GCD of 120, 611, 910, 731?
You can find a detailed procedure to find GCD of 120, 611, 910, 731 on our page.
3. How to find GCD of 120, 611, 910, 731 on a calculator?
You can find the GCD of 120, 611, 910, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.