GCD of 178, 448, 492, 146 Calculator

Given Input numbers are 178, 448, 492, 146

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

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (178, 448, 492, 146) = 2.

Given numbers are 178, 448, 492, 146

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 178, 448, 492, 146 is 2.

Given numbers are 178, 448, 492, 146

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

Apply this formula for all numbers.

Step1:

LCM(178, 448) = 39872

GCD(178, 448) = ( 178 x 448 ) / 39872

= 178 / 448

= 178

Step2:

LCM(2, 492) = 492

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

= 2 / 492

= 2

Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 178, 448, 492, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 148, 607, 119
• GCD of 983, 605, 616, 894
• GCD of 917, 149, 769, 502
• GCD of 155, 683, 891, 311
• GCD of 594, 681, 396, 961

Given numbers are 178, 448, 492, 146
The greatest common divisor of numbers 178, 448, 492, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 448, 492, 146 is 2.

1. What is the GCD of 178, 448, 492, 146?

GCD of given numbers 178, 448, 492, 146 is 2

2. How to calculate the greatest common divisor of 178, 448, 492, 146?

We can find the highest common divisor of 178, 448, 492, 146 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 178, 448, 492, 146 i.e 2.

3. How can I use the GCD of 178, 448, 492, 146Calculator?

Out the numbers 178, 448, 492, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.