GCD of 150, 974, 176, 306 Calculator

Given Input numbers are 150, 974, 176, 306

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 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

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 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (150, 974, 176, 306) = 2.

Given numbers are 150, 974, 176, 306

The list of prime factors of all numbers are

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

Prime factors of 974 are 2 x 487

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

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 150, 974, 176, 306 is 2.

Given numbers are 150, 974, 176, 306

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

Apply this formula for all numbers.

Step1:

LCM(150, 974) = 73050

GCD(150, 974) = ( 150 x 974 ) / 73050

= 150 / 974

= 150

Step2:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

Step3:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

So, Greatest Common Divisor of 150, 974, 176, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 200, 487, 110
• GCD of 248, 932, 900, 866
• GCD of 721, 229, 908, 970
• GCD of 846, 175, 166, 797
• GCD of 936, 342, 633, 623

Given numbers are 150, 974, 176, 306
The greatest common divisor of numbers 150, 974, 176, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 974, 176, 306 is 2.

1. What is the GCD of 150, 974, 176, 306?

GCD of given numbers 150, 974, 176, 306 is 2

2. How to calculate the greatest common divisor of 150, 974, 176, 306?

We can find the highest common divisor of 150, 974, 176, 306 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, 974, 176, 306 i.e 2.

3. How can I use the GCD of 150, 974, 176, 306Calculator?

Out the numbers 150, 974, 176, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.