GCD of 144, 752, 552 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 144, 752, 552 quickly. Get the easiest ways to solve the greatest common divisor of 144, 752, 552 i.e 8 in different methods as follows.
Given Input numbers are 144, 752, 552
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
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
GCD of numbers is the greatest common divisor
So, the GCD (144, 752, 552) = 8.
Given numbers are 144, 752, 552
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The highest common occurrence is 23
Therefore, GCD of 144, 752, 552 is 8.
Steps to Calculate GCD of 144, 752, 552 using LCM Formula
Given numbers are 144, 752, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 752) = 6768
GCD(144, 752) = ( 144 x 752 ) / 6768
= 144 / 752
= 144
Step2:
LCM(16, 552) = 1104
GCD(16, 552) = ( 16 x 552 ) / 1104
= 16 / 552
= 16
So, Greatest Common Divisor of 144, 752, 552 is 8
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 144, 752, 552
Given numbers are 144, 752, 552
The greatest common divisor of numbers 144, 752, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 752, 552 is 8.
FAQs on GCD of 144, 752, 552 Calculator
1. What is the GCD of 144, 752, 552?
GCD of given numbers 144, 752, 552 is 8
2. How to calculate the greatest common divisor of 144, 752, 552?
We can find the highest common divisor of 144, 752, 552 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 144, 752, 552 i.e 8.
3. How can I use the GCD of 144, 752, 552Calculator?
Out the numbers 144, 752, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.