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 550, 567, 46, 743 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 567, 46, 743 is 1
GCD(550, 567, 46, 743) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 567, 46, 743 is 1
GCD(550, 567, 46, 743) = 1
Given Input numbers are 550, 567, 46, 743
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Greatest Common Divisior
We found the divisors of 550, 567, 46, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 567, 46, 743 is 1.
Therefore, GCD of numbers 550, 567, 46, 743 is 1
Given Input Data is 550, 567, 46, 743
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 46 is 2 x 23
Prime Factorization of 743 is 743
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(550, 567) = 311850
GCD(550, 567) = ( 550 x 567 ) / 311850
GCD(550, 567) = 311850 / 311850
GCD(550, 567) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 743
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
GCD(1, 743) = 743 / 743
GCD(1, 743) = 1
GCD of 550, 567, 46, 743 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 567, 46, 743?
GCD of 550, 567, 46, 743 is 1
2. Where do I get the detailed procedure to find GCD of 550, 567, 46, 743?
You can find a detailed procedure to find GCD of 550, 567, 46, 743 on our page.
3. How to find GCD of 550, 567, 46, 743 on a calculator?
You can find the GCD of 550, 567, 46, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.