GCD of 944, 272, 724 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 944, 272, 724 quickly. Get the easiest ways to solve the greatest common divisor of 944, 272, 724 i.e 4 in different methods as follows.
Given Input numbers are 944, 272, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 944 :
The positive integer divisors of 944 that completely divides 944 are.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (944, 272, 724) = 4.
Given numbers are 944, 272, 724
The list of prime factors of all numbers are
Prime factors of 944 are 2 x 2 x 2 x 2 x 59
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 22
Therefore, GCD of 944, 272, 724 is 4.
Steps to Calculate GCD of 944, 272, 724 using LCM Formula
Given numbers are 944, 272, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(944, 272) = 16048
GCD(944, 272) = ( 944 x 272 ) / 16048
= 944 / 272
= 944
Step2:
LCM(16, 724) = 2896
GCD(16, 724) = ( 16 x 724 ) / 2896
= 16 / 724
= 16
So, Greatest Common Divisor of 944, 272, 724 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 944, 272, 724
Given numbers are 944, 272, 724
The greatest common divisor of numbers 944, 272, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 944, 272, 724 is 4.
FAQs on GCD of 944, 272, 724 Calculator
1. What is the GCD of 944, 272, 724?
GCD of given numbers 944, 272, 724 is 4
2. How to calculate the greatest common divisor of 944, 272, 724?
We can find the highest common divisor of 944, 272, 724 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 944, 272, 724 i.e 4.
3. How can I use the GCD of 944, 272, 724Calculator?
Out the numbers 944, 272, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.