GCD of 492, 718, 364 Calculator

Given Input numbers are 492, 718, 364

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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

GCD of numbers is the greatest common divisor

So, the GCD (492, 718, 364) = 2.

Given numbers are 492, 718, 364

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 718 are 2 x 359

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

The highest common occurrence is 2¹

Therefore, GCD of 492, 718, 364 is 2.

Given numbers are 492, 718, 364

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

Apply this formula for all numbers.

Step1:

LCM(492, 718) = 176628

GCD(492, 718) = ( 492 x 718 ) / 176628

= 492 / 718

= 492

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 492, 718, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 348, 522
• GCD of 957, 386, 486
• GCD of 939, 451, 937
• GCD of 360, 300, 652
• GCD of 557, 297, 164

Given numbers are 492, 718, 364
The greatest common divisor of numbers 492, 718, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 718, 364 is 2.

1. What is the GCD of 492, 718, 364?

GCD of given numbers 492, 718, 364 is 2

2. How to calculate the greatest common divisor of 492, 718, 364?

We can find the highest common divisor of 492, 718, 364 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 492, 718, 364 i.e 2.

3. How can I use the GCD of 492, 718, 364Calculator?

Out the numbers 492, 718, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.