GCD of 150, 116, 208, 798 Calculator

Given Input numbers are 150, 116, 208, 798

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (150, 116, 208, 798) = 2.

Given numbers are 150, 116, 208, 798

The list of prime factors of all numbers are

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

Prime factors of 116 are 2 x 2 x 29

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 150, 116, 208, 798 is 2.

Given numbers are 150, 116, 208, 798

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

Apply this formula for all numbers.

Step1:

LCM(150, 116) = 8700

GCD(150, 116) = ( 150 x 116 ) / 8700

= 150 / 116

= 150

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

= 2 / 798

= 2

So, Greatest Common Divisor of 150, 116, 208, 798 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 643, 932, 665
• GCD of 978, 314, 296, 458
• GCD of 380, 954, 633, 107
• GCD of 352, 680, 718, 490
• GCD of 243, 628, 756, 796

Given numbers are 150, 116, 208, 798
The greatest common divisor of numbers 150, 116, 208, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 116, 208, 798 is 2.

1. What is the GCD of 150, 116, 208, 798?

GCD of given numbers 150, 116, 208, 798 is 2

2. How to calculate the greatest common divisor of 150, 116, 208, 798?

We can find the highest common divisor of 150, 116, 208, 798 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, 116, 208, 798 i.e 2.

3. How can I use the GCD of 150, 116, 208, 798Calculator?

Out the numbers 150, 116, 208, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.