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 153, 730, 61, 261 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 730, 61, 261 is 1
GCD(153, 730, 61, 261) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 730, 61, 261 is 1
GCD(153, 730, 61, 261) = 1
Given Input numbers are 153, 730, 61, 261
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Greatest Common Divisior
We found the divisors of 153, 730, 61, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 730, 61, 261 is 1.
Therefore, GCD of numbers 153, 730, 61, 261 is 1
Given Input Data is 153, 730, 61, 261
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 61 is 61
Prime Factorization of 261 is 3 x 3 x 29
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(153, 730) = 111690
GCD(153, 730) = ( 153 x 730 ) / 111690
GCD(153, 730) = 111690 / 111690
GCD(153, 730) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
GCD of 153, 730, 61, 261 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 730, 61, 261?
GCD of 153, 730, 61, 261 is 1
2. Where do I get the detailed procedure to find GCD of 153, 730, 61, 261?
You can find a detailed procedure to find GCD of 153, 730, 61, 261 on our page.
3. How to find GCD of 153, 730, 61, 261 on a calculator?
You can find the GCD of 153, 730, 61, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.