GCD of 175, 429, 288, 272 Calculator

Given Input numbers are 175, 429, 288, 272

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 (175, 429, 288, 272) = 1.

Given numbers are 175, 429, 288, 272

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 429 are 3 x 11 x 13

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 175, 429, 288, 272

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

Apply this formula for all numbers.

Step1:

LCM(175, 429) = 75075

GCD(175, 429) = ( 175 x 429 ) / 75075

= 175 / 429

= 175

Step2:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 175, 429, 288, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 718, 659, 212
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• GCD of 498, 530, 618, 649

Given numbers are 175, 429, 288, 272
The greatest common divisor of numbers 175, 429, 288, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 429, 288, 272 is 1.

1. What is the GCD of 175, 429, 288, 272?

GCD of given numbers 175, 429, 288, 272 is 1

2. How to calculate the greatest common divisor of 175, 429, 288, 272?

We can find the highest common divisor of 175, 429, 288, 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 175, 429, 288, 272 i.e 1.

3. How can I use the GCD of 175, 429, 288, 272Calculator?

Out the numbers 175, 429, 288, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.