GCD of 422, 670, 172 Calculator

Given Input numbers are 422, 670, 172

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (422, 670, 172) = 2.

Given numbers are 422, 670, 172

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 670 are 2 x 5 x 67

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 422, 670, 172 is 2.

Given numbers are 422, 670, 172

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

Apply this formula for all numbers.

Step1:

LCM(422, 670) = 141370

GCD(422, 670) = ( 422 x 670 ) / 141370

= 422 / 670

= 422

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 422, 670, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 693, 496
• GCD of 559, 429, 950
• GCD of 119, 735, 280
• GCD of 358, 614, 310
• GCD of 143, 827, 167

Given numbers are 422, 670, 172
The greatest common divisor of numbers 422, 670, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 670, 172 is 2.

1. What is the GCD of 422, 670, 172?

GCD of given numbers 422, 670, 172 is 2

2. How to calculate the greatest common divisor of 422, 670, 172?

We can find the highest common divisor of 422, 670, 172 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 422, 670, 172 i.e 2.

3. How can I use the GCD of 422, 670, 172Calculator?

Out the numbers 422, 670, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.