GCD of 362, 552, 909 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 362, 552, 909 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 552, 909 is 1
GCD(362, 552, 909) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 552, 909 is 1
GCD(362, 552, 909) = 1
GCDof 362,552,909 is 1
Given Input numbers are 362, 552, 909
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
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 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Greatest Common Divisior
We found the divisors of 362, 552, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 552, 909 is 1.
Therefore, GCD of numbers 362, 552, 909 is 1
Given Input Data is 362, 552, 909
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 909 is 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 362, 552, 909 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(362, 552) = 99912
GCD(362, 552) = ( 362 x 552 ) / 99912
GCD(362, 552) = 199824 / 99912
GCD(362, 552) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 909) = 1818
GCD(2, 909) = ( 2 x 909 ) / 1818
GCD(2, 909) = 1818 / 1818
GCD(2, 909) = 1
GCD of 362, 552, 909 is 1
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FAQs on GCD of numbers 362, 552, 909
1. What is the GCD of 362, 552, 909?
GCD of 362, 552, 909 is 1
2. Where do I get the detailed procedure to find GCD of 362, 552, 909?
You can find a detailed procedure to find GCD of 362, 552, 909 on our page.
3. How to find GCD of 362, 552, 909 on a calculator?
You can find the GCD of 362, 552, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.