GCD of 518, 680, 550, 170 Calculator

Given Input numbers are 518, 680, 550, 170

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

Divisors of 518 :

The positive integer divisors of 518 that completely divides 518 are.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

GCD of numbers is the greatest common divisor

So, the GCD (518, 680, 550, 170) = 2.

Given numbers are 518, 680, 550, 170

The list of prime factors of all numbers are

Prime factors of 518 are 2 x 7 x 37

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 518, 680, 550, 170 is 2.

Given numbers are 518, 680, 550, 170

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

Apply this formula for all numbers.

Step1:

LCM(518, 680) = 176120

GCD(518, 680) = ( 518 x 680 ) / 176120

= 518 / 680

= 518

Step2:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

Step3:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

So, Greatest Common Divisor of 518, 680, 550, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 814, 356, 312
• GCD of 330, 422, 207, 296
• GCD of 841, 290, 877, 607
• GCD of 349, 103, 279, 526
• GCD of 932, 413, 906, 943

Given numbers are 518, 680, 550, 170
The greatest common divisor of numbers 518, 680, 550, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 518, 680, 550, 170 is 2.

1. What is the GCD of 518, 680, 550, 170?

GCD of given numbers 518, 680, 550, 170 is 2

2. How to calculate the greatest common divisor of 518, 680, 550, 170?

We can find the highest common divisor of 518, 680, 550, 170 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 518, 680, 550, 170 i.e 2.

3. How can I use the GCD of 518, 680, 550, 170Calculator?

Out the numbers 518, 680, 550, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.