GCD of 153, 174, 628, 902 Calculator

Given Input numbers are 153, 174, 628, 902

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

Divisors of 153

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

1, 3, 9, 17, 51, 153

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 153, 174, 628, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 174, 628, 902 is 1.

Therefore, GCD of numbers 153, 174, 628, 902 is 1

Given Input Data is 153, 174, 628, 902

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 902 is 2 x 11 x 41

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(153, 174) = 8874

GCD(153, 174) = ( 153 x 174 ) / 8874

GCD(153, 174) = 26622 / 8874

GCD(153, 174) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 628

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

LCM(3, 628) = 1884

GCD(3, 628) = ( 3 x 628 ) / 1884

GCD(3, 628) = 1884 / 1884

GCD(3, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 153, 174, 628, 902 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 903, 970, 409
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• GCD of 119, 211, 999, 839

1. What is the GCD of 153, 174, 628, 902?

GCD of 153, 174, 628, 902 is 1

2. Where do I get the detailed procedure to find GCD of 153, 174, 628, 902?

You can find a detailed procedure to find GCD of 153, 174, 628, 902 on our page.

3. How to find GCD of 153, 174, 628, 902 on a calculator?

You can find the GCD of 153, 174, 628, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.