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 661, 473, 59, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 661, 473, 59, 553 is 1
GCD(661, 473, 59, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 661, 473, 59, 553 is 1
GCD(661, 473, 59, 553) = 1
Given Input numbers are 661, 473, 59, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 661, 473, 59, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 473, 59, 553 is 1.
Therefore, GCD of numbers 661, 473, 59, 553 is 1
Given Input Data is 661, 473, 59, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 661 is 661
Prime Factorization of 473 is 11 x 43
Prime Factorization of 59 is 59
Prime Factorization of 553 is 7 x 79
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(661, 473) = 312653
GCD(661, 473) = ( 661 x 473 ) / 312653
GCD(661, 473) = 312653 / 312653
GCD(661, 473) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
GCD of 661, 473, 59, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 661, 473, 59, 553?
GCD of 661, 473, 59, 553 is 1
2. Where do I get the detailed procedure to find GCD of 661, 473, 59, 553?
You can find a detailed procedure to find GCD of 661, 473, 59, 553 on our page.
3. How to find GCD of 661, 473, 59, 553 on a calculator?
You can find the GCD of 661, 473, 59, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.