GCD of 340, 870, 580 Calculator

Given Input numbers are 340, 870, 580

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

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 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 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (340, 870, 580) = 10.

Given numbers are 340, 870, 580

The list of prime factors of all numbers are

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

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

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 340, 870, 580 is 10.

Given numbers are 340, 870, 580

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

Apply this formula for all numbers.

Step1:

LCM(340, 870) = 29580

GCD(340, 870) = ( 340 x 870 ) / 29580

= 340 / 870

= 340

Step2:

LCM(10, 580) = 580

GCD(10, 580) = ( 10 x 580 ) / 580

= 10 / 580

= 10

So, Greatest Common Divisor of 340, 870, 580 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 963, 909
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Given numbers are 340, 870, 580
The greatest common divisor of numbers 340, 870, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 870, 580 is 10.

1. What is the GCD of 340, 870, 580?

GCD of given numbers 340, 870, 580 is 10

2. How to calculate the greatest common divisor of 340, 870, 580?

We can find the highest common divisor of 340, 870, 580 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 340, 870, 580 i.e 10.

3. How can I use the GCD of 340, 870, 580Calculator?

Out the numbers 340, 870, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.