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 145, 285, 70, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 285, 70, 901 is 1
GCD(145, 285, 70, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 285, 70, 901 is 1
GCD(145, 285, 70, 901) = 1
Given Input numbers are 145, 285, 70, 901
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
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 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 145, 285, 70, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 285, 70, 901 is 1.
Therefore, GCD of numbers 145, 285, 70, 901 is 1
Given Input Data is 145, 285, 70, 901
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 901 is 17 x 53
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(145, 285) = 8265
GCD(145, 285) = ( 145 x 285 ) / 8265
GCD(145, 285) = 41325 / 8265
GCD(145, 285) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 70) = 70
GCD(5, 70) = ( 5 x 70 ) / 70
GCD(5, 70) = 350 / 70
GCD(5, 70) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 901) = 4505
GCD(5, 901) = ( 5 x 901 ) / 4505
GCD(5, 901) = 4505 / 4505
GCD(5, 901) = 1
GCD of 145, 285, 70, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 285, 70, 901?
GCD of 145, 285, 70, 901 is 1
2. Where do I get the detailed procedure to find GCD of 145, 285, 70, 901?
You can find a detailed procedure to find GCD of 145, 285, 70, 901 on our page.
3. How to find GCD of 145, 285, 70, 901 on a calculator?
You can find the GCD of 145, 285, 70, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.