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 150, 637, 97, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 637, 97, 412 is 1
GCD(150, 637, 97, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 637, 97, 412 is 1
GCD(150, 637, 97, 412) = 1
Given Input numbers are 150, 637, 97, 412
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 150, 637, 97, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 637, 97, 412 is 1.
Therefore, GCD of numbers 150, 637, 97, 412 is 1
Given Input Data is 150, 637, 97, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 97 is 97
Prime Factorization of 412 is 2 x 2 x 103
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(150, 637) = 95550
GCD(150, 637) = ( 150 x 637 ) / 95550
GCD(150, 637) = 95550 / 95550
GCD(150, 637) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 150, 637, 97, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 637, 97, 412?
GCD of 150, 637, 97, 412 is 1
2. Where do I get the detailed procedure to find GCD of 150, 637, 97, 412?
You can find a detailed procedure to find GCD of 150, 637, 97, 412 on our page.
3. How to find GCD of 150, 637, 97, 412 on a calculator?
You can find the GCD of 150, 637, 97, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.