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, 651, 10, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 651, 10, 457 is 1
GCD(553, 651, 10, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 651, 10, 457 is 1
GCD(553, 651, 10, 457) = 1
Given Input numbers are 553, 651, 10, 457
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 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 553, 651, 10, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 651, 10, 457 is 1.
Therefore, GCD of numbers 553, 651, 10, 457 is 1
Given Input Data is 553, 651, 10, 457
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 10 is 2 x 5
Prime Factorization of 457 is 457
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, 651) = 51429
GCD(553, 651) = ( 553 x 651 ) / 51429
GCD(553, 651) = 360003 / 51429
GCD(553, 651) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 10) = 70
GCD(7, 10) = ( 7 x 10 ) / 70
GCD(7, 10) = 70 / 70
GCD(7, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 457) = 457
GCD(1, 457) = ( 1 x 457 ) / 457
GCD(1, 457) = 457 / 457
GCD(1, 457) = 1
GCD of 553, 651, 10, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 651, 10, 457?
GCD of 553, 651, 10, 457 is 1
2. Where do I get the detailed procedure to find GCD of 553, 651, 10, 457?
You can find a detailed procedure to find GCD of 553, 651, 10, 457 on our page.
3. How to find GCD of 553, 651, 10, 457 on a calculator?
You can find the GCD of 553, 651, 10, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.