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, 398, 865, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 398, 865, 685 is 1
GCD(150, 398, 865, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 398, 865, 685 is 1
GCD(150, 398, 865, 685) = 1
Given Input numbers are 150, 398, 865, 685
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 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 150, 398, 865, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 398, 865, 685 is 1.
Therefore, GCD of numbers 150, 398, 865, 685 is 1
Given Input Data is 150, 398, 865, 685
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 398 is 2 x 199
Prime Factorization of 865 is 5 x 173
Prime Factorization of 685 is 5 x 137
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, 398) = 29850
GCD(150, 398) = ( 150 x 398 ) / 29850
GCD(150, 398) = 59700 / 29850
GCD(150, 398) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 865) = 1730
GCD(2, 865) = ( 2 x 865 ) / 1730
GCD(2, 865) = 1730 / 1730
GCD(2, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
GCD of 150, 398, 865, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 398, 865, 685?
GCD of 150, 398, 865, 685 is 1
2. Where do I get the detailed procedure to find GCD of 150, 398, 865, 685?
You can find a detailed procedure to find GCD of 150, 398, 865, 685 on our page.
3. How to find GCD of 150, 398, 865, 685 on a calculator?
You can find the GCD of 150, 398, 865, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.