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 901, 154, 687, 183 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 154, 687, 183 is 1
GCD(901, 154, 687, 183) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 154, 687, 183 is 1
GCD(901, 154, 687, 183) = 1
Given Input numbers are 901, 154, 687, 183
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Greatest Common Divisior
We found the divisors of 901, 154, 687, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 154, 687, 183 is 1.
Therefore, GCD of numbers 901, 154, 687, 183 is 1
Given Input Data is 901, 154, 687, 183
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 687 is 3 x 229
Prime Factorization of 183 is 3 x 61
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(901, 154) = 138754
GCD(901, 154) = ( 901 x 154 ) / 138754
GCD(901, 154) = 138754 / 138754
GCD(901, 154) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 183
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 183) = 183
GCD(1, 183) = ( 1 x 183 ) / 183
GCD(1, 183) = 183 / 183
GCD(1, 183) = 1
GCD of 901, 154, 687, 183 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 154, 687, 183?
GCD of 901, 154, 687, 183 is 1
2. Where do I get the detailed procedure to find GCD of 901, 154, 687, 183?
You can find a detailed procedure to find GCD of 901, 154, 687, 183 on our page.
3. How to find GCD of 901, 154, 687, 183 on a calculator?
You can find the GCD of 901, 154, 687, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.