GCD of 532, 784, 272 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 532, 784, 272 quickly. Get the easiest ways to solve the greatest common divisor of 532, 784, 272 i.e 4 in different methods as follows.
Given Input numbers are 532, 784, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (532, 784, 272) = 4.
Given numbers are 532, 784, 272
The list of prime factors of all numbers are
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 22
Therefore, GCD of 532, 784, 272 is 4.
Steps to Calculate GCD of 532, 784, 272 using LCM Formula
Given numbers are 532, 784, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(532, 784) = 14896
GCD(532, 784) = ( 532 x 784 ) / 14896
= 532 / 784
= 532
Step2:
LCM(28, 272) = 1904
GCD(28, 272) = ( 28 x 272 ) / 1904
= 28 / 272
= 28
So, Greatest Common Divisor of 532, 784, 272 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 532, 784, 272
Given numbers are 532, 784, 272
The greatest common divisor of numbers 532, 784, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 784, 272 is 4.
FAQs on GCD of 532, 784, 272 Calculator
1. What is the GCD of 532, 784, 272?
GCD of given numbers 532, 784, 272 is 4
2. How to calculate the greatest common divisor of 532, 784, 272?
We can find the highest common divisor of 532, 784, 272 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 532, 784, 272 i.e 4.
3. How can I use the GCD of 532, 784, 272Calculator?
Out the numbers 532, 784, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.