GCD of 492, 974, 468, 398 Calculator

Given Input numbers are 492, 974, 468, 398

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 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (492, 974, 468, 398) = 2.

Given numbers are 492, 974, 468, 398

The list of prime factors of all numbers are

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

Prime factors of 974 are 2 x 487

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 492, 974, 468, 398 is 2.

Given numbers are 492, 974, 468, 398

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

Apply this formula for all numbers.

Step1:

LCM(492, 974) = 239604

GCD(492, 974) = ( 492 x 974 ) / 239604

= 492 / 974

= 492

Step2:

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

= 2 / 468

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 492, 974, 468, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 750, 599, 727
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Given numbers are 492, 974, 468, 398
The greatest common divisor of numbers 492, 974, 468, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 974, 468, 398 is 2.

1. What is the GCD of 492, 974, 468, 398?

GCD of given numbers 492, 974, 468, 398 is 2

2. How to calculate the greatest common divisor of 492, 974, 468, 398?

We can find the highest common divisor of 492, 974, 468, 398 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, 974, 468, 398 i.e 2.

3. How can I use the GCD of 492, 974, 468, 398Calculator?

Out the numbers 492, 974, 468, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.