GCD of 320, 150, 138, 830 Calculator

Given Input numbers are 320, 150, 138, 830

In the factoring method, we have to find the divisors of all numbers

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (320, 150, 138, 830) = 2.

Given numbers are 320, 150, 138, 830

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 138 are 2 x 3 x 23

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 2¹

Therefore, GCD of 320, 150, 138, 830 is 2.

Given numbers are 320, 150, 138, 830

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

Apply this formula for all numbers.

Step1:

LCM(320, 150) = 4800

GCD(320, 150) = ( 320 x 150 ) / 4800

= 320 / 150

= 320

Step2:

LCM(10, 138) = 690

GCD(10, 138) = ( 10 x 138 ) / 690

= 10 / 138

= 10

Step3:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

So, Greatest Common Divisor of 320, 150, 138, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 106, 830, 866
• GCD of 134, 933, 669, 269
• GCD of 760, 956, 475, 355
• GCD of 153, 768, 766, 757
• GCD of 365, 509, 455, 452

Given numbers are 320, 150, 138, 830
The greatest common divisor of numbers 320, 150, 138, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 150, 138, 830 is 2.

1. What is the GCD of 320, 150, 138, 830?

GCD of given numbers 320, 150, 138, 830 is 2

2. How to calculate the greatest common divisor of 320, 150, 138, 830?

We can find the highest common divisor of 320, 150, 138, 830 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 320, 150, 138, 830 i.e 2.

3. How can I use the GCD of 320, 150, 138, 830Calculator?

Out the numbers 320, 150, 138, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.