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 73, 545, 156, 117 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 545, 156, 117 is 1
GCD(73, 545, 156, 117) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 545, 156, 117 is 1
GCD(73, 545, 156, 117) = 1
Given Input numbers are 73, 545, 156, 117
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 73, 545, 156, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 545, 156, 117 is 1.
Therefore, GCD of numbers 73, 545, 156, 117 is 1
Given Input Data is 73, 545, 156, 117
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 545 is 5 x 109
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 117 is 3 x 3 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(73, 545) = 39785
GCD(73, 545) = ( 73 x 545 ) / 39785
GCD(73, 545) = 39785 / 39785
GCD(73, 545) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
GCD(1, 117) = 117 / 117
GCD(1, 117) = 1
GCD of 73, 545, 156, 117 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 545, 156, 117?
GCD of 73, 545, 156, 117 is 1
2. Where do I get the detailed procedure to find GCD of 73, 545, 156, 117?
You can find a detailed procedure to find GCD of 73, 545, 156, 117 on our page.
3. How to find GCD of 73, 545, 156, 117 on a calculator?
You can find the GCD of 73, 545, 156, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.