GCD of 150, 115, 462, 176 Calculator

Given Input numbers are 150, 115, 462, 176

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 176 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (150, 115, 462, 176) = 1.

Given numbers are 150, 115, 462, 176

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 115 are 5 x 23

Prime factors of 462 are 2 x 3 x 7 x 11

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 150, 115, 462, 176

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

Apply this formula for all numbers.

Step1:

LCM(150, 115) = 3450

GCD(150, 115) = ( 150 x 115 ) / 3450

= 150 / 115

= 150

Step2:

LCM(5, 462) = 2310

GCD(5, 462) = ( 5 x 462 ) / 2310

= 5 / 462

= 5

Step3:

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

= 1 / 176

= 1

So, Greatest Common Divisor of 150, 115, 462, 176 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 825, 734, 366
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• GCD of 916, 995, 196, 231
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• GCD of 499, 542, 102, 291

Given numbers are 150, 115, 462, 176
The greatest common divisor of numbers 150, 115, 462, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 115, 462, 176 is 1.

1. What is the GCD of 150, 115, 462, 176?

GCD of given numbers 150, 115, 462, 176 is 1

2. How to calculate the greatest common divisor of 150, 115, 462, 176?

We can find the highest common divisor of 150, 115, 462, 176 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 150, 115, 462, 176 i.e 1.

3. How can I use the GCD of 150, 115, 462, 176Calculator?

Out the numbers 150, 115, 462, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.