GCD of 600, 850, 792, 870 Calculator

Given Input numbers are 600, 850, 792, 870

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (600, 850, 792, 870) = 2.

Given numbers are 600, 850, 792, 870

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 600, 850, 792, 870 is 2.

Given numbers are 600, 850, 792, 870

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

Apply this formula for all numbers.

Step1:

LCM(600, 850) = 10200

GCD(600, 850) = ( 600 x 850 ) / 10200

= 600 / 850

= 600

Step2:

LCM(50, 792) = 19800

GCD(50, 792) = ( 50 x 792 ) / 19800

= 50 / 792

= 50

Step3:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

So, Greatest Common Divisor of 600, 850, 792, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 264, 975, 364
• GCD of 546, 580, 316, 859
• GCD of 647, 916, 830, 525
• GCD of 234, 160, 796, 730
• GCD of 531, 452, 331, 362

Given numbers are 600, 850, 792, 870
The greatest common divisor of numbers 600, 850, 792, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 850, 792, 870 is 2.

1. What is the GCD of 600, 850, 792, 870?

GCD of given numbers 600, 850, 792, 870 is 2

2. How to calculate the greatest common divisor of 600, 850, 792, 870?

We can find the highest common divisor of 600, 850, 792, 870 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 600, 850, 792, 870 i.e 2.

3. How can I use the GCD of 600, 850, 792, 870Calculator?

Out the numbers 600, 850, 792, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.