GCD of 920, 340, 590 Calculator

Given Input numbers are 920, 340, 590

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 (920, 340, 590) = 10.

Given numbers are 920, 340, 590

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 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 x 5¹

Therefore, GCD of 920, 340, 590 is 10.

Given numbers are 920, 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(920, 340) = 15640

GCD(920, 340) = ( 920 x 340 ) / 15640

= 920 / 340

= 920

Step2:

LCM(20, 590) = 1180

GCD(20, 590) = ( 20 x 590 ) / 1180

= 20 / 590

= 20

So, Greatest Common Divisor of 920, 340, 590 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 748, 379
• GCD of 481, 989, 258
• GCD of 936, 579, 173
• GCD of 259, 346, 364
• GCD of 633, 549, 389

Given numbers are 920, 340, 590
The greatest common divisor of numbers 920, 340, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 340, 590 is 10.

1. What is the GCD of 920, 340, 590?

GCD of given numbers 920, 340, 590 is 10

2. How to calculate the greatest common divisor of 920, 340, 590?

We can find the highest common divisor of 920, 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 920, 340, 590 i.e 10.

3. How can I use the GCD of 920, 340, 590Calculator?

Out the numbers 920, 340, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.