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, 419, 80, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 419, 80, 969 is 1
GCD(553, 419, 80, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 419, 80, 969 is 1
GCD(553, 419, 80, 969) = 1
Given Input numbers are 553, 419, 80, 969
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 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
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 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 553, 419, 80, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 419, 80, 969 is 1.
Therefore, GCD of numbers 553, 419, 80, 969 is 1
Given Input Data is 553, 419, 80, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 419 is 419
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 969 is 3 x 17 x 19
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, 419) = 231707
GCD(553, 419) = ( 553 x 419 ) / 231707
GCD(553, 419) = 231707 / 231707
GCD(553, 419) = 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 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
GCD of 553, 419, 80, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 419, 80, 969?
GCD of 553, 419, 80, 969 is 1
2. Where do I get the detailed procedure to find GCD of 553, 419, 80, 969?
You can find a detailed procedure to find GCD of 553, 419, 80, 969 on our page.
3. How to find GCD of 553, 419, 80, 969 on a calculator?
You can find the GCD of 553, 419, 80, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.