GCD of 60, 928, 314, 153 Calculator

Given Input numbers are 60, 928, 314, 153

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 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 60, 928, 314, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 928, 314, 153 is 1.

Therefore, GCD of numbers 60, 928, 314, 153 is 1

Given Input Data is 60, 928, 314, 153

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 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 314 is 2 x 157

Prime Factorization of 153 is 3 x 3 x 17

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, 928) = 13920

GCD(60, 928) = ( 60 x 928 ) / 13920

GCD(60, 928) = 55680 / 13920

GCD(60, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 314

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

LCM(4, 314) = 628

GCD(4, 314) = ( 4 x 314 ) / 628

GCD(4, 314) = 1256 / 628

GCD(4, 314) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

GCD of 60, 928, 314, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 629, 622, 279
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• GCD of 88, 480, 244, 468
• GCD of 79, 100, 553, 419

1. What is the GCD of 60, 928, 314, 153?

GCD of 60, 928, 314, 153 is 1

2. Where do I get the detailed procedure to find GCD of 60, 928, 314, 153?

You can find a detailed procedure to find GCD of 60, 928, 314, 153 on our page.

3. How to find GCD of 60, 928, 314, 153 on a calculator?

You can find the GCD of 60, 928, 314, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.