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, 853, 70, 286 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 853, 70, 286 is 1
GCD(150, 853, 70, 286) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 853, 70, 286 is 1
GCD(150, 853, 70, 286) = 1
Given Input numbers are 150, 853, 70, 286
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 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Greatest Common Divisior
We found the divisors of 150, 853, 70, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 853, 70, 286 is 1.
Therefore, GCD of numbers 150, 853, 70, 286 is 1
Given Input Data is 150, 853, 70, 286
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 853 is 853
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 286 is 2 x 11 x 13
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, 853) = 127950
GCD(150, 853) = ( 150 x 853 ) / 127950
GCD(150, 853) = 127950 / 127950
GCD(150, 853) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 70) = 70
GCD(1, 70) = ( 1 x 70 ) / 70
GCD(1, 70) = 70 / 70
GCD(1, 70) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 1
GCD of 150, 853, 70, 286 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 853, 70, 286?
GCD of 150, 853, 70, 286 is 1
2. Where do I get the detailed procedure to find GCD of 150, 853, 70, 286?
You can find a detailed procedure to find GCD of 150, 853, 70, 286 on our page.
3. How to find GCD of 150, 853, 70, 286 on a calculator?
You can find the GCD of 150, 853, 70, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.