GCD of 364, 952, 728 Calculator

Given Input numbers are 364, 952, 728

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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 (364, 952, 728) = 28.

Given numbers are 364, 952, 728

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

The highest common occurrence is 2² x 7¹

Therefore, GCD of 364, 952, 728 is 28.

Given numbers are 364, 952, 728

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

Apply this formula for all numbers.

Step1:

LCM(364, 952) = 12376

GCD(364, 952) = ( 364 x 952 ) / 12376

= 364 / 952

= 364

Step2:

LCM(28, 728) = 728

GCD(28, 728) = ( 28 x 728 ) / 728

= 28 / 728

= 28

So, Greatest Common Divisor of 364, 952, 728 is 28

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 952, 712
• GCD of 349, 704, 880
• GCD of 289, 657, 753
• GCD of 443, 460, 405
• GCD of 594, 160, 289

Given numbers are 364, 952, 728
The greatest common divisor of numbers 364, 952, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 952, 728 is 28.

1. What is the GCD of 364, 952, 728?

GCD of given numbers 364, 952, 728 is 28

2. How to calculate the greatest common divisor of 364, 952, 728?

We can find the highest common divisor of 364, 952, 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 364, 952, 728 i.e 28.

3. How can I use the GCD of 364, 952, 728Calculator?

Out the numbers 364, 952, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.