GCD of 175, 465, 64, 279 Calculator

Given Input numbers are 175, 465, 64, 279

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 175, 465, 64, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 465, 64, 279 is 1.

Therefore, GCD of numbers 175, 465, 64, 279 is 1

Given Input Data is 175, 465, 64, 279

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 279 is 3 x 3 x 31

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(175, 465) = 16275

GCD(175, 465) = ( 175 x 465 ) / 16275

GCD(175, 465) = 81375 / 16275

GCD(175, 465) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 64

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

LCM(5, 64) = 320

GCD(5, 64) = ( 5 x 64 ) / 320

GCD(5, 64) = 320 / 320

GCD(5, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 175, 465, 64, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 932, 25, 754
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1. What is the GCD of 175, 465, 64, 279?

GCD of 175, 465, 64, 279 is 1

2. Where do I get the detailed procedure to find GCD of 175, 465, 64, 279?

You can find a detailed procedure to find GCD of 175, 465, 64, 279 on our page.

3. How to find GCD of 175, 465, 64, 279 on a calculator?

You can find the GCD of 175, 465, 64, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.