GCD of 172, 334, 272 Calculator

Given Input numbers are 172, 334, 272

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

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (172, 334, 272) = 2.

Given numbers are 172, 334, 272

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 334 are 2 x 167

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 172, 334, 272 is 2.

Given numbers are 172, 334, 272

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

Apply this formula for all numbers.

Step1:

LCM(172, 334) = 28724

GCD(172, 334) = ( 172 x 334 ) / 28724

= 172 / 334

= 172

Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 172, 334, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 757, 340
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• GCD of 549, 722, 145
• GCD of 977, 138, 371
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Given numbers are 172, 334, 272
The greatest common divisor of numbers 172, 334, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 334, 272 is 2.

1. What is the GCD of 172, 334, 272?

GCD of given numbers 172, 334, 272 is 2

2. How to calculate the greatest common divisor of 172, 334, 272?

We can find the highest common divisor of 172, 334, 272 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 172, 334, 272 i.e 2.

3. How can I use the GCD of 172, 334, 272Calculator?

Out the numbers 172, 334, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.