GCD of 931, 616, 628, 153 Calculator

Given Input numbers are 931, 616, 628, 153

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

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 628

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

1, 2, 4, 157, 314, 628

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 931, 616, 628, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 931, 616, 628, 153 is 1.

Therefore, GCD of numbers 931, 616, 628, 153 is 1

Given Input Data is 931, 616, 628, 153

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

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 628 is 2 x 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(931, 616) = 81928

GCD(931, 616) = ( 931 x 616 ) / 81928

GCD(931, 616) = 573496 / 81928

GCD(931, 616) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 628

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

LCM(7, 628) = 4396

GCD(7, 628) = ( 7 x 628 ) / 4396

GCD(7, 628) = 4396 / 4396

GCD(7, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 931, 616, 628, 153 is 1

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1. What is the GCD of 931, 616, 628, 153?

GCD of 931, 616, 628, 153 is 1

2. Where do I get the detailed procedure to find GCD of 931, 616, 628, 153?

You can find a detailed procedure to find GCD of 931, 616, 628, 153 on our page.

3. How to find GCD of 931, 616, 628, 153 on a calculator?

You can find the GCD of 931, 616, 628, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.