GCD of 870, 644, 340, 590 Calculator

Given Input numbers are 870, 644, 340, 590

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

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

GCD of numbers is the greatest common divisor

So, the GCD (870, 644, 340, 590) = 2.

Given numbers are 870, 644, 340, 590

The list of prime factors of all numbers are

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

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 2¹

Therefore, GCD of 870, 644, 340, 590 is 2.

Given numbers are 870, 644, 340, 590

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

Apply this formula for all numbers.

Step1:

LCM(870, 644) = 280140

GCD(870, 644) = ( 870 x 644 ) / 280140

= 870 / 644

= 870

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

Step3:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

So, Greatest Common Divisor of 870, 644, 340, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 459, 936, 949
• GCD of 117, 676, 446, 581
• GCD of 682, 176, 444, 468
• GCD of 112, 720, 197, 539
• GCD of 999, 511, 693, 324

Given numbers are 870, 644, 340, 590
The greatest common divisor of numbers 870, 644, 340, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 644, 340, 590 is 2.

1. What is the GCD of 870, 644, 340, 590?

GCD of given numbers 870, 644, 340, 590 is 2

2. How to calculate the greatest common divisor of 870, 644, 340, 590?

We can find the highest common divisor of 870, 644, 340, 590 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 870, 644, 340, 590 i.e 2.

3. How can I use the GCD of 870, 644, 340, 590Calculator?

Out the numbers 870, 644, 340, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.