GCD of 380, 440, 170 Calculator

Given Input numbers are 380, 440, 170

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 (380, 440, 170) = 10.

Given numbers are 380, 440, 170

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 380, 440, 170 is 10.

Given numbers are 380, 440, 170

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

Apply this formula for all numbers.

Step1:

LCM(380, 440) = 8360

GCD(380, 440) = ( 380 x 440 ) / 8360

= 380 / 440

= 380

Step2:

LCM(20, 170) = 340

GCD(20, 170) = ( 20 x 170 ) / 340

= 20 / 170

= 20

So, Greatest Common Divisor of 380, 440, 170 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 983, 717
• GCD of 341, 951, 787
• GCD of 713, 642, 595
• GCD of 613, 486, 371
• GCD of 251, 884, 915

Given numbers are 380, 440, 170
The greatest common divisor of numbers 380, 440, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 440, 170 is 10.

1. What is the GCD of 380, 440, 170?

GCD of given numbers 380, 440, 170 is 10

2. How to calculate the greatest common divisor of 380, 440, 170?

We can find the highest common divisor of 380, 440, 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 380, 440, 170 i.e 10.

3. How can I use the GCD of 380, 440, 170Calculator?

Out the numbers 380, 440, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.