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, 564, 206, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 553, 564, 206, 748 is 1
GCD(553, 564, 206, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 553, 564, 206, 748 is 1
GCD(553, 564, 206, 748) = 1
Given Input numbers are 553, 564, 206, 748
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 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 553, 564, 206, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 564, 206, 748 is 1.
Therefore, GCD of numbers 553, 564, 206, 748 is 1
Given Input Data is 553, 564, 206, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 553 is 7 x 79
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 206 is 2 x 103
Prime Factorization of 748 is 2 x 2 x 11 x 17
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, 564) = 311892
GCD(553, 564) = ( 553 x 564 ) / 311892
GCD(553, 564) = 311892 / 311892
GCD(553, 564) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
GCD(1, 206) = 206 / 206
GCD(1, 206) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 553, 564, 206, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 553, 564, 206, 748?
GCD of 553, 564, 206, 748 is 1
2. Where do I get the detailed procedure to find GCD of 553, 564, 206, 748?
You can find a detailed procedure to find GCD of 553, 564, 206, 748 on our page.
3. How to find GCD of 553, 564, 206, 748 on a calculator?
You can find the GCD of 553, 564, 206, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.