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 940, 225, 138, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 225, 138, 402 is 1
GCD(940, 225, 138, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 225, 138, 402 is 1
GCD(940, 225, 138, 402) = 1
Given Input numbers are 940, 225, 138, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 940, 225, 138, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 225, 138, 402 is 1.
Therefore, GCD of numbers 940, 225, 138, 402 is 1
Given Input Data is 940, 225, 138, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 402 is 2 x 3 x 67
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(940, 225) = 42300
GCD(940, 225) = ( 940 x 225 ) / 42300
GCD(940, 225) = 211500 / 42300
GCD(940, 225) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 138) = 690
GCD(5, 138) = ( 5 x 138 ) / 690
GCD(5, 138) = 690 / 690
GCD(5, 138) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 940, 225, 138, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 225, 138, 402?
GCD of 940, 225, 138, 402 is 1
2. Where do I get the detailed procedure to find GCD of 940, 225, 138, 402?
You can find a detailed procedure to find GCD of 940, 225, 138, 402 on our page.
3. How to find GCD of 940, 225, 138, 402 on a calculator?
You can find the GCD of 940, 225, 138, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.