GCD of 362, 534, 466, 728 Calculator

Given Input numbers are 362, 534, 466, 728

In the factoring method, we have to find the divisors of all numbers

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (362, 534, 466, 728) = 2.

Given numbers are 362, 534, 466, 728

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 534 are 2 x 3 x 89

Prime factors of 466 are 2 x 233

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 362, 534, 466, 728 is 2.

Given numbers are 362, 534, 466, 728

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

Apply this formula for all numbers.

Step1:

LCM(362, 534) = 96654

GCD(362, 534) = ( 362 x 534 ) / 96654

= 362 / 534

= 362

Step2:

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

= 2 / 466

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 362, 534, 466, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 448, 588, 365
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Given numbers are 362, 534, 466, 728
The greatest common divisor of numbers 362, 534, 466, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 534, 466, 728 is 2.

1. What is the GCD of 362, 534, 466, 728?

GCD of given numbers 362, 534, 466, 728 is 2

2. How to calculate the greatest common divisor of 362, 534, 466, 728?

We can find the highest common divisor of 362, 534, 466, 728 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 362, 534, 466, 728 i.e 2.

3. How can I use the GCD of 362, 534, 466, 728Calculator?

Out the numbers 362, 534, 466, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.