GCD of 952, 172, 175, 509 Calculator

Given Input numbers are 952, 172, 175, 509

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 175

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

1, 5, 7, 25, 35, 175

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 952, 172, 175, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 172, 175, 509 is 1.

Therefore, GCD of numbers 952, 172, 175, 509 is 1

Given Input Data is 952, 172, 175, 509

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 509 is 509

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(952, 172) = 40936

GCD(952, 172) = ( 952 x 172 ) / 40936

GCD(952, 172) = 163744 / 40936

GCD(952, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 175

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

LCM(4, 175) = 700

GCD(4, 175) = ( 4 x 175 ) / 700

GCD(4, 175) = 700 / 700

GCD(4, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 952, 172, 175, 509 is 1

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1. What is the GCD of 952, 172, 175, 509?

GCD of 952, 172, 175, 509 is 1

2. Where do I get the detailed procedure to find GCD of 952, 172, 175, 509?

You can find a detailed procedure to find GCD of 952, 172, 175, 509 on our page.

3. How to find GCD of 952, 172, 175, 509 on a calculator?

You can find the GCD of 952, 172, 175, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.