GCD of 532, 460, 28, 344 Calculator

Given Input numbers are 532, 460, 28, 344

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (532, 460, 28, 344) = 4.

Given numbers are 532, 460, 28, 344

The list of prime factors of all numbers are

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 28 are 2 x 2 x 7

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 532, 460, 28, 344 is 4.

Given numbers are 532, 460, 28, 344

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(532, 460) = 61180

GCD(532, 460) = ( 532 x 460 ) / 61180

= 532 / 460

= 532

Step2:

LCM(4, 28) = 28

GCD(4, 28) = ( 4 x 28 ) / 28

= 4 / 28

= 4

Step3:

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

= 4 / 344

= 4

So, Greatest Common Divisor of 532, 460, 28, 344 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 623, 22, 869
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• GCD of 880, 749, 93, 428
• GCD of 955, 791, 29, 627
• GCD of 539, 554, 46, 348

Given numbers are 532, 460, 28, 344
The greatest common divisor of numbers 532, 460, 28, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 460, 28, 344 is 4.

1. What is the GCD of 532, 460, 28, 344?

GCD of given numbers 532, 460, 28, 344 is 4

2. How to calculate the greatest common divisor of 532, 460, 28, 344?

We can find the highest common divisor of 532, 460, 28, 344 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, 460, 28, 344 i.e 4.

3. How can I use the GCD of 532, 460, 28, 344Calculator?

Out the numbers 532, 460, 28, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.