GCD of 150, 850, 498, 288 Calculator

Given Input numbers are 150, 850, 498, 288

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 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (150, 850, 498, 288) = 2.

Given numbers are 150, 850, 498, 288

The list of prime factors of all numbers are

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

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 498 are 2 x 3 x 83

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 150, 850, 498, 288 is 2.

Given numbers are 150, 850, 498, 288

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

Apply this formula for all numbers.

Step1:

LCM(150, 850) = 2550

GCD(150, 850) = ( 150 x 850 ) / 2550

= 150 / 850

= 150

Step2:

LCM(50, 498) = 12450

GCD(50, 498) = ( 50 x 498 ) / 12450

= 50 / 498

= 50

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 150, 850, 498, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 447, 175, 557
• GCD of 519, 820, 991, 908
• GCD of 585, 315, 948, 126
• GCD of 449, 493, 209, 519
• GCD of 334, 904, 874, 440

Given numbers are 150, 850, 498, 288
The greatest common divisor of numbers 150, 850, 498, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 850, 498, 288 is 2.

1. What is the GCD of 150, 850, 498, 288?

GCD of given numbers 150, 850, 498, 288 is 2

2. How to calculate the greatest common divisor of 150, 850, 498, 288?

We can find the highest common divisor of 150, 850, 498, 288 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, 850, 498, 288 i.e 2.

3. How can I use the GCD of 150, 850, 498, 288Calculator?

Out the numbers 150, 850, 498, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.