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, 964, 85 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 964, 85 is 1
GCD(545, 964, 85) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 964, 85 is 1
GCD(545, 964, 85) = 1
Given Input numbers are 545, 964, 85
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 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Greatest Common Divisior
We found the divisors of 545, 964, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 964, 85 is 1.
Therefore, GCD of numbers 545, 964, 85 is 1
Given Input Data is 545, 964, 85
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 85 is 5 x 17
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, 964) = 525380
GCD(545, 964) = ( 545 x 964 ) / 525380
GCD(545, 964) = 525380 / 525380
GCD(545, 964) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
GCD of 545, 964, 85 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 964, 85?
GCD of 545, 964, 85 is 1
2. Where do I get the detailed procedure to find GCD of 545, 964, 85?
You can find a detailed procedure to find GCD of 545, 964, 85 on our page.
3. How to find GCD of 545, 964, 85 on a calculator?
You can find the GCD of 545, 964, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.