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 42, 621, 120, 950 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 621, 120, 950 is 1
GCD(42, 621, 120, 950) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 621, 120, 950 is 1
GCD(42, 621, 120, 950) = 1
Given Input numbers are 42, 621, 120, 950
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
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 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Greatest Common Divisior
We found the divisors of 42, 621, 120, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 621, 120, 950 is 1.
Therefore, GCD of numbers 42, 621, 120, 950 is 1
Given Input Data is 42, 621, 120, 950
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 950 is 2 x 5 x 5 x 19
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(42, 621) = 8694
GCD(42, 621) = ( 42 x 621 ) / 8694
GCD(42, 621) = 26082 / 8694
GCD(42, 621) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 120) = 120
GCD(3, 120) = ( 3 x 120 ) / 120
GCD(3, 120) = 360 / 120
GCD(3, 120) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 950
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 950) = 2850
GCD(3, 950) = ( 3 x 950 ) / 2850
GCD(3, 950) = 2850 / 2850
GCD(3, 950) = 1
GCD of 42, 621, 120, 950 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 621, 120, 950?
GCD of 42, 621, 120, 950 is 1
2. Where do I get the detailed procedure to find GCD of 42, 621, 120, 950?
You can find a detailed procedure to find GCD of 42, 621, 120, 950 on our page.
3. How to find GCD of 42, 621, 120, 950 on a calculator?
You can find the GCD of 42, 621, 120, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.