GCD of 60, 328, 534, 175 Calculator

Given Input numbers are 60, 328, 534, 175

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 175

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

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 60, 328, 534, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 328, 534, 175 is 1.

Therefore, GCD of numbers 60, 328, 534, 175 is 1

Given Input Data is 60, 328, 534, 175

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 175 is 5 x 5 x 7

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(60, 328) = 4920

GCD(60, 328) = ( 60 x 328 ) / 4920

GCD(60, 328) = 19680 / 4920

GCD(60, 328) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 534

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

LCM(4, 534) = 1068

GCD(4, 534) = ( 4 x 534 ) / 1068

GCD(4, 534) = 2136 / 1068

GCD(4, 534) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 175

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

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

GCD(2, 175) = 350 / 350

GCD(2, 175) = 1

GCD of 60, 328, 534, 175 is 1

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• GCD of 99, 400, 191, 148
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• GCD of 64, 234, 214, 653

1. What is the GCD of 60, 328, 534, 175?

GCD of 60, 328, 534, 175 is 1

2. Where do I get the detailed procedure to find GCD of 60, 328, 534, 175?

You can find a detailed procedure to find GCD of 60, 328, 534, 175 on our page.

3. How to find GCD of 60, 328, 534, 175 on a calculator?

You can find the GCD of 60, 328, 534, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.