GCD of 150, 279, 228, 807 Calculator

Given Input numbers are 150, 279, 228, 807

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 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (150, 279, 228, 807) = 3.

Given numbers are 150, 279, 228, 807

The list of prime factors of all numbers are

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

Prime factors of 279 are 3 x 3 x 31

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 807 are 3 x 269

The highest common occurrence is 3¹

Therefore, GCD of 150, 279, 228, 807 is 3.

Given numbers are 150, 279, 228, 807

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

Apply this formula for all numbers.

Step1:

LCM(150, 279) = 13950

GCD(150, 279) = ( 150 x 279 ) / 13950

= 150 / 279

= 150

Step2:

LCM(3, 228) = 228

GCD(3, 228) = ( 3 x 228 ) / 228

= 3 / 228

= 3

Step3:

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

= 3 / 807

= 3

So, Greatest Common Divisor of 150, 279, 228, 807 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 176, 495, 390
• GCD of 197, 366, 351, 247
• GCD of 678, 708, 745, 125
• GCD of 655, 886, 855, 784
• GCD of 768, 279, 986, 156

Given numbers are 150, 279, 228, 807
The greatest common divisor of numbers 150, 279, 228, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 279, 228, 807 is 3.

1. What is the GCD of 150, 279, 228, 807?

GCD of given numbers 150, 279, 228, 807 is 3

2. How to calculate the greatest common divisor of 150, 279, 228, 807?

We can find the highest common divisor of 150, 279, 228, 807 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, 279, 228, 807 i.e 3.

3. How can I use the GCD of 150, 279, 228, 807Calculator?

Out the numbers 150, 279, 228, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.