GCD of 150, 177, 296, 460 Calculator

Given Input numbers are 150, 177, 296, 460

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 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (150, 177, 296, 460) = 1.

Given numbers are 150, 177, 296, 460

The list of prime factors of all numbers are

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

Prime factors of 177 are 3 x 59

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 150, 177, 296, 460

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

Apply this formula for all numbers.

Step1:

LCM(150, 177) = 8850

GCD(150, 177) = ( 150 x 177 ) / 8850

= 150 / 177

= 150

Step2:

LCM(3, 296) = 888

GCD(3, 296) = ( 3 x 296 ) / 888

= 3 / 296

= 3

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 150, 177, 296, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 362, 636, 919
• GCD of 505, 286, 158, 349
• GCD of 389, 669, 942, 474
• GCD of 563, 215, 507, 279
• GCD of 405, 683, 307, 947

Given numbers are 150, 177, 296, 460
The greatest common divisor of numbers 150, 177, 296, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 177, 296, 460 is 1.

1. What is the GCD of 150, 177, 296, 460?

GCD of given numbers 150, 177, 296, 460 is 1

2. How to calculate the greatest common divisor of 150, 177, 296, 460?

We can find the highest common divisor of 150, 177, 296, 460 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, 177, 296, 460 i.e 1.

3. How can I use the GCD of 150, 177, 296, 460Calculator?

Out the numbers 150, 177, 296, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.