GCD of 250, 850, 106, 360 Calculator

Given Input numbers are 250, 850, 106, 360

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

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

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 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (250, 850, 106, 360) = 2.

Given numbers are 250, 850, 106, 360

The list of prime factors of all numbers are

Prime factors of 250 are 2 x 5 x 5 x 5

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

Prime factors of 106 are 2 x 53

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 250, 850, 106, 360 is 2.

Given numbers are 250, 850, 106, 360

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

Apply this formula for all numbers.

Step1:

LCM(250, 850) = 4250

GCD(250, 850) = ( 250 x 850 ) / 4250

= 250 / 850

= 250

Step2:

LCM(50, 106) = 2650

GCD(50, 106) = ( 50 x 106 ) / 2650

= 50 / 106

= 50

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 250, 850, 106, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 697, 611, 462
• GCD of 898, 870, 323, 598
• GCD of 217, 356, 305, 642
• GCD of 107, 199, 705, 403
• GCD of 305, 442, 398, 240

Given numbers are 250, 850, 106, 360
The greatest common divisor of numbers 250, 850, 106, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 850, 106, 360 is 2.

1. What is the GCD of 250, 850, 106, 360?

GCD of given numbers 250, 850, 106, 360 is 2

2. How to calculate the greatest common divisor of 250, 850, 106, 360?

We can find the highest common divisor of 250, 850, 106, 360 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 250, 850, 106, 360 i.e 2.

3. How can I use the GCD of 250, 850, 106, 360Calculator?

Out the numbers 250, 850, 106, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.