GCD of 552, 600, 717 Calculator
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, 600, 717 i.e. 3 largest integer that divides all the numbers equally.
GCD of 552, 600, 717 is 3
GCD(552, 600, 717) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 600, 717 is 3
GCD(552, 600, 717) = 3
GCDof 552,600,717 is 3
Given Input numbers are 552, 600, 717
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 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Greatest Common Divisior
We found the divisors of 552, 600, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 600, 717 is 3.
Therefore, GCD of numbers 552, 600, 717 is 3
Given Input Data is 552, 600, 717
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 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 717 is 3 x 239
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 552, 600, 717 using LCM Formula
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, 600) = 13800
GCD(552, 600) = ( 552 x 600 ) / 13800
GCD(552, 600) = 331200 / 13800
GCD(552, 600) = 24
Step2:
Here we consider the GCD from the above i.e. 24 as first number and the next as 717
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(24, 717) = 5736
GCD(24, 717) = ( 24 x 717 ) / 5736
GCD(24, 717) = 17208 / 5736
GCD(24, 717) = 3
GCD of 552, 600, 717 is 3
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FAQs on GCD of numbers 552, 600, 717
1. What is the GCD of 552, 600, 717?
GCD of 552, 600, 717 is 3
2. Where do I get the detailed procedure to find GCD of 552, 600, 717?
You can find a detailed procedure to find GCD of 552, 600, 717 on our page.
3. How to find GCD of 552, 600, 717 on a calculator?
You can find the GCD of 552, 600, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.