GCD of 178, 432, 450, 136 Calculator

Given Input numbers are 178, 432, 450, 136

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

GCD of numbers is the greatest common divisor

So, the GCD (178, 432, 450, 136) = 2.

Given numbers are 178, 432, 450, 136

The list of prime factors of all numbers are

Prime factors of 178 are 2 x 89

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 136 are 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 178, 432, 450, 136 is 2.

Given numbers are 178, 432, 450, 136

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

Apply this formula for all numbers.

Step1:

LCM(178, 432) = 38448

GCD(178, 432) = ( 178 x 432 ) / 38448

= 178 / 432

= 178

Step2:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

Step3:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

So, Greatest Common Divisor of 178, 432, 450, 136 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 960, 838, 282
• GCD of 847, 324, 709, 159
• GCD of 882, 260, 975, 178
• GCD of 846, 647, 420, 833
• GCD of 660, 783, 159, 907

Given numbers are 178, 432, 450, 136
The greatest common divisor of numbers 178, 432, 450, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 178, 432, 450, 136 is 2.

1. What is the GCD of 178, 432, 450, 136?

GCD of given numbers 178, 432, 450, 136 is 2

2. How to calculate the greatest common divisor of 178, 432, 450, 136?

We can find the highest common divisor of 178, 432, 450, 136 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, 432, 450, 136 i.e 2.

3. How can I use the GCD of 178, 432, 450, 136Calculator?

Out the numbers 178, 432, 450, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.