GCD of 724, 792, 176 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 724, 792, 176 quickly. Get the easiest ways to solve the greatest common divisor of 724, 792, 176 i.e 4 in different methods as follows.
Given Input numbers are 724, 792, 176
In the factoring method, we have to find the divisors of all numbers
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
GCD of numbers is the greatest common divisor
So, the GCD (724, 792, 176) = 4.
Given numbers are 724, 792, 176
The list of prime factors of all numbers are
Prime factors of 724 are 2 x 2 x 181
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
The highest common occurrence is 22
Therefore, GCD of 724, 792, 176 is 4.
Steps to Calculate GCD of 724, 792, 176 using LCM Formula
Given numbers are 724, 792, 176
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(724, 792) = 143352
GCD(724, 792) = ( 724 x 792 ) / 143352
= 724 / 792
= 724
Step2:
LCM(4, 176) = 176
GCD(4, 176) = ( 4 x 176 ) / 176
= 4 / 176
= 4
So, Greatest Common Divisor of 724, 792, 176 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 724, 792, 176
Given numbers are 724, 792, 176
The greatest common divisor of numbers 724, 792, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 792, 176 is 4.
FAQs on GCD of 724, 792, 176 Calculator
1. What is the GCD of 724, 792, 176?
GCD of given numbers 724, 792, 176 is 4
2. How to calculate the greatest common divisor of 724, 792, 176?
We can find the highest common divisor of 724, 792, 176 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 724, 792, 176 i.e 4.
3. How can I use the GCD of 724, 792, 176Calculator?
Out the numbers 724, 792, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.