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 545, 437, 80, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 437, 80, 772 is 1
GCD(545, 437, 80, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 437, 80, 772 is 1
GCD(545, 437, 80, 772) = 1
Given Input numbers are 545, 437, 80, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 545, 437, 80, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 437, 80, 772 is 1.
Therefore, GCD of numbers 545, 437, 80, 772 is 1
Given Input Data is 545, 437, 80, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 437 is 19 x 23
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 772 is 2 x 2 x 193
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(545, 437) = 238165
GCD(545, 437) = ( 545 x 437 ) / 238165
GCD(545, 437) = 238165 / 238165
GCD(545, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 545, 437, 80, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 437, 80, 772?
GCD of 545, 437, 80, 772 is 1
2. Where do I get the detailed procedure to find GCD of 545, 437, 80, 772?
You can find a detailed procedure to find GCD of 545, 437, 80, 772 on our page.
3. How to find GCD of 545, 437, 80, 772 on a calculator?
You can find the GCD of 545, 437, 80, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.