GCD of 170, 680, 200 Calculator

Given Input numbers are 170, 680, 200

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

Divisors of 170 :

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

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

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (170, 680, 200) = 10.

Given numbers are 170, 680, 200

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 170, 680, 200 is 10.

Given numbers are 170, 680, 200

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

Apply this formula for all numbers.

Step1:

LCM(170, 680) = 680

GCD(170, 680) = ( 170 x 680 ) / 680

= 170 / 680

= 170

Step2:

LCM(170, 200) = 3400

GCD(170, 200) = ( 170 x 200 ) / 3400

= 170 / 200

= 170

So, Greatest Common Divisor of 170, 680, 200 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 221, 177
• GCD of 773, 711, 602
• GCD of 937, 500, 184
• GCD of 531, 712, 388
• GCD of 594, 226, 781

Given numbers are 170, 680, 200
The greatest common divisor of numbers 170, 680, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 680, 200 is 10.

1. What is the GCD of 170, 680, 200?

GCD of given numbers 170, 680, 200 is 10

2. How to calculate the greatest common divisor of 170, 680, 200?

We can find the highest common divisor of 170, 680, 200 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 170, 680, 200 i.e 10.

3. How can I use the GCD of 170, 680, 200Calculator?

Out the numbers 170, 680, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.