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 552, 657, 760, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 657, 760, 993 is 1
GCD(552, 657, 760, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 657, 760, 993 is 1
GCD(552, 657, 760, 993) = 1
Given Input numbers are 552, 657, 760, 993
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 552, 657, 760, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 657, 760, 993 is 1.
Therefore, GCD of numbers 552, 657, 760, 993 is 1
Given Input Data is 552, 657, 760, 993
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 993 is 3 x 331
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(552, 657) = 120888
GCD(552, 657) = ( 552 x 657 ) / 120888
GCD(552, 657) = 362664 / 120888
GCD(552, 657) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 760) = 2280
GCD(3, 760) = ( 3 x 760 ) / 2280
GCD(3, 760) = 2280 / 2280
GCD(3, 760) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 552, 657, 760, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 657, 760, 993?
GCD of 552, 657, 760, 993 is 1
2. Where do I get the detailed procedure to find GCD of 552, 657, 760, 993?
You can find a detailed procedure to find GCD of 552, 657, 760, 993 on our page.
3. How to find GCD of 552, 657, 760, 993 on a calculator?
You can find the GCD of 552, 657, 760, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.