GCD of 310, 400, 850, 210 Calculator

Given Input numbers are 310, 400, 850, 210

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (310, 400, 850, 210) = 10.

Given numbers are 310, 400, 850, 210

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 400 are 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 210 are 2 x 3 x 5 x 7

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 310, 400, 850, 210 is 10.

Given numbers are 310, 400, 850, 210

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

Apply this formula for all numbers.

Step1:

LCM(310, 400) = 12400

GCD(310, 400) = ( 310 x 400 ) / 12400

= 310 / 400

= 310

Step2:

LCM(10, 850) = 850

GCD(10, 850) = ( 10 x 850 ) / 850

= 10 / 850

= 10

Step3:

LCM(10, 210) = 210

GCD(10, 210) = ( 10 x 210 ) / 210

= 10 / 210

= 10

So, Greatest Common Divisor of 310, 400, 850, 210 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 640, 718, 328, 405
• GCD of 395, 826, 105, 725
• GCD of 484, 709, 666, 912
• GCD of 684, 346, 220, 716
• GCD of 579, 249, 850, 287

Given numbers are 310, 400, 850, 210
The greatest common divisor of numbers 310, 400, 850, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 400, 850, 210 is 10.

1. What is the GCD of 310, 400, 850, 210?

GCD of given numbers 310, 400, 850, 210 is 10

2. How to calculate the greatest common divisor of 310, 400, 850, 210?

We can find the highest common divisor of 310, 400, 850, 210 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 310, 400, 850, 210 i.e 10.

3. How can I use the GCD of 310, 400, 850, 210Calculator?

Out the numbers 310, 400, 850, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.