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 155, 208, 653, 461 i.e. 1 largest integer that divides all the numbers equally.
GCD of 155, 208, 653, 461 is 1
GCD(155, 208, 653, 461) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 155, 208, 653, 461 is 1
GCD(155, 208, 653, 461) = 1
Given Input numbers are 155, 208, 653, 461
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Greatest Common Divisior
We found the divisors of 155, 208, 653, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 208, 653, 461 is 1.
Therefore, GCD of numbers 155, 208, 653, 461 is 1
Given Input Data is 155, 208, 653, 461
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 155 is 5 x 31
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
Prime Factorization of 653 is 653
Prime Factorization of 461 is 461
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(155, 208) = 32240
GCD(155, 208) = ( 155 x 208 ) / 32240
GCD(155, 208) = 32240 / 32240
GCD(155, 208) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 461) = 461
GCD(1, 461) = ( 1 x 461 ) / 461
GCD(1, 461) = 461 / 461
GCD(1, 461) = 1
GCD of 155, 208, 653, 461 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 155, 208, 653, 461?
GCD of 155, 208, 653, 461 is 1
2. Where do I get the detailed procedure to find GCD of 155, 208, 653, 461?
You can find a detailed procedure to find GCD of 155, 208, 653, 461 on our page.
3. How to find GCD of 155, 208, 653, 461 on a calculator?
You can find the GCD of 155, 208, 653, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.