GCD of 300, 800, 850, 130 Calculator

Given Input numbers are 300, 800, 850, 130

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (300, 800, 850, 130) = 10.

Given numbers are 300, 800, 850, 130

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 300, 800, 850, 130 is 10.

Given numbers are 300, 800, 850, 130

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

Apply this formula for all numbers.

Step1:

LCM(300, 800) = 2400

GCD(300, 800) = ( 300 x 800 ) / 2400

= 300 / 800

= 300

Step2:

LCM(100, 850) = 1700

GCD(100, 850) = ( 100 x 850 ) / 1700

= 100 / 850

= 100

Step3:

LCM(50, 130) = 650

GCD(50, 130) = ( 50 x 130 ) / 650

= 50 / 130

= 50

So, Greatest Common Divisor of 300, 800, 850, 130 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 269, 664, 249
• GCD of 587, 651, 721, 356
• GCD of 836, 318, 925, 949
• GCD of 351, 760, 859, 130
• GCD of 458, 214, 741, 975

Given numbers are 300, 800, 850, 130
The greatest common divisor of numbers 300, 800, 850, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 800, 850, 130 is 10.

1. What is the GCD of 300, 800, 850, 130?

GCD of given numbers 300, 800, 850, 130 is 10

2. How to calculate the greatest common divisor of 300, 800, 850, 130?

We can find the highest common divisor of 300, 800, 850, 130 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 300, 800, 850, 130 i.e 10.

3. How can I use the GCD of 300, 800, 850, 130Calculator?

Out the numbers 300, 800, 850, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.