GCD of 176, 278, 472, 108 Calculator

Given Input numbers are 176, 278, 472, 108

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

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (176, 278, 472, 108) = 2.

Given numbers are 176, 278, 472, 108

The list of prime factors of all numbers are

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 278 are 2 x 139

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 176, 278, 472, 108 is 2.

Given numbers are 176, 278, 472, 108

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

Apply this formula for all numbers.

Step1:

LCM(176, 278) = 24464

GCD(176, 278) = ( 176 x 278 ) / 24464

= 176 / 278

= 176

Step2:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 176, 278, 472, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 682, 460, 543
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Given numbers are 176, 278, 472, 108
The greatest common divisor of numbers 176, 278, 472, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 278, 472, 108 is 2.

1. What is the GCD of 176, 278, 472, 108?

GCD of given numbers 176, 278, 472, 108 is 2

2. How to calculate the greatest common divisor of 176, 278, 472, 108?

We can find the highest common divisor of 176, 278, 472, 108 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 176, 278, 472, 108 i.e 2.

3. How can I use the GCD of 176, 278, 472, 108Calculator?

Out the numbers 176, 278, 472, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.