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, 635, 69, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 635, 69, 982 is 1
GCD(150, 635, 69, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 635, 69, 982 is 1
GCD(150, 635, 69, 982) = 1
Given Input numbers are 150, 635, 69, 982
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 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 150, 635, 69, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 635, 69, 982 is 1.
Therefore, GCD of numbers 150, 635, 69, 982 is 1
Given Input Data is 150, 635, 69, 982
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 635 is 5 x 127
Prime Factorization of 69 is 3 x 23
Prime Factorization of 982 is 2 x 491
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, 635) = 19050
GCD(150, 635) = ( 150 x 635 ) / 19050
GCD(150, 635) = 95250 / 19050
GCD(150, 635) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 69) = 345
GCD(5, 69) = ( 5 x 69 ) / 345
GCD(5, 69) = 345 / 345
GCD(5, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 150, 635, 69, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 635, 69, 982?
GCD of 150, 635, 69, 982 is 1
2. Where do I get the detailed procedure to find GCD of 150, 635, 69, 982?
You can find a detailed procedure to find GCD of 150, 635, 69, 982 on our page.
3. How to find GCD of 150, 635, 69, 982 on a calculator?
You can find the GCD of 150, 635, 69, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.