GCD of 657, 924, 337, 148 Calculator

Given Input numbers are 657, 924, 337, 148

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 657, 924, 337, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 924, 337, 148 is 1.

Therefore, GCD of numbers 657, 924, 337, 148 is 1

Given Input Data is 657, 924, 337, 148

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 337 is 337

Prime Factorization of 148 is 2 x 2 x 37

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(657, 924) = 202356

GCD(657, 924) = ( 657 x 924 ) / 202356

GCD(657, 924) = 607068 / 202356

GCD(657, 924) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 337

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

LCM(3, 337) = 1011

GCD(3, 337) = ( 3 x 337 ) / 1011

GCD(3, 337) = 1011 / 1011

GCD(3, 337) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 657, 924, 337, 148 is 1

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1. What is the GCD of 657, 924, 337, 148?

GCD of 657, 924, 337, 148 is 1

2. Where do I get the detailed procedure to find GCD of 657, 924, 337, 148?

You can find a detailed procedure to find GCD of 657, 924, 337, 148 on our page.

3. How to find GCD of 657, 924, 337, 148 on a calculator?

You can find the GCD of 657, 924, 337, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.