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 553, 312, 85, 975 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 312, 85, 975 is 1
GCD(553, 312, 85, 975) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 312, 85, 975 is 1
GCD(553, 312, 85, 975) = 1
Given Input numbers are 553, 312, 85, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Greatest Common Divisior
We found the divisors of 553, 312, 85, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 312, 85, 975 is 1.
Therefore, GCD of numbers 553, 312, 85, 975 is 1
Given Input Data is 553, 312, 85, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 85 is 5 x 17
Prime Factorization of 975 is 3 x 5 x 5 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(553, 312) = 172536
GCD(553, 312) = ( 553 x 312 ) / 172536
GCD(553, 312) = 172536 / 172536
GCD(553, 312) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
GCD(1, 975) = 975 / 975
GCD(1, 975) = 1
GCD of 553, 312, 85, 975 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 312, 85, 975?
GCD of 553, 312, 85, 975 is 1
2. Where do I get the detailed procedure to find GCD of 553, 312, 85, 975?
You can find a detailed procedure to find GCD of 553, 312, 85, 975 on our page.
3. How to find GCD of 553, 312, 85, 975 on a calculator?
You can find the GCD of 553, 312, 85, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.