GCD of 552, 360, 353 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 552, 360, 353 quickly. Get the easiest ways to solve the greatest common divisor of 552, 360, 353 i.e 1 in different methods as follows.
Given Input numbers are 552, 360, 353
In the factoring method, we have to find the divisors of all numbers
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
GCD of numbers is the greatest common divisor
So, the GCD (552, 360, 353) = 1.
Given numbers are 552, 360, 353
The list of prime factors of all numbers are
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 353 are 353
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 552, 360, 353 using LCM Formula
Given numbers are 552, 360, 353
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 360) = 8280
GCD(552, 360) = ( 552 x 360 ) / 8280
= 552 / 360
= 552
Step2:
LCM(24, 353) = 8472
GCD(24, 353) = ( 24 x 353 ) / 8472
= 24 / 353
= 24
So, Greatest Common Divisor of 552, 360, 353 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 552, 360, 353
Given numbers are 552, 360, 353
The greatest common divisor of numbers 552, 360, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 360, 353 is 1.
FAQs on GCD of 552, 360, 353 Calculator
1. What is the GCD of 552, 360, 353?
GCD of given numbers 552, 360, 353 is 1
2. How to calculate the greatest common divisor of 552, 360, 353?
We can find the highest common divisor of 552, 360, 353 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 552, 360, 353 i.e 1.
3. How can I use the GCD of 552, 360, 353Calculator?
Out the numbers 552, 360, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.