GCD of 354, 478, 912, 492 Calculator

Given Input numbers are 354, 478, 912, 492

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

GCD of numbers is the greatest common divisor

So, the GCD (354, 478, 912, 492) = 2.

Given numbers are 354, 478, 912, 492

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 478 are 2 x 239

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 354, 478, 912, 492 is 2.

Given numbers are 354, 478, 912, 492

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

Apply this formula for all numbers.

Step1:

LCM(354, 478) = 84606

GCD(354, 478) = ( 354 x 478 ) / 84606

= 354 / 478

= 354

Step2:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2

Step3:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

So, Greatest Common Divisor of 354, 478, 912, 492 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 789, 146, 852
• GCD of 656, 340, 187, 372
• GCD of 353, 735, 367, 822
• GCD of 296, 829, 438, 979
• GCD of 116, 795, 534, 874

Given numbers are 354, 478, 912, 492
The greatest common divisor of numbers 354, 478, 912, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 478, 912, 492 is 2.

1. What is the GCD of 354, 478, 912, 492?

GCD of given numbers 354, 478, 912, 492 is 2

2. How to calculate the greatest common divisor of 354, 478, 912, 492?

We can find the highest common divisor of 354, 478, 912, 492 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 354, 478, 912, 492 i.e 2.

3. How can I use the GCD of 354, 478, 912, 492Calculator?

Out the numbers 354, 478, 912, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.