GCD of 657, 758, 148, 679 Calculator

Given Input numbers are 657, 758, 148, 679

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 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 657, 758, 148, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 758, 148, 679 is 1.

Therefore, GCD of numbers 657, 758, 148, 679 is 1

Given Input Data is 657, 758, 148, 679

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 758 is 2 x 379

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 679 is 7 x 97

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, 758) = 498006

GCD(657, 758) = ( 657 x 758 ) / 498006

GCD(657, 758) = 498006 / 498006

GCD(657, 758) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 657, 758, 148, 679 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 820, 492, 642
• GCD of 505, 832, 519, 943
• GCD of 646, 512, 339, 105
• GCD of 954, 154, 988, 650
• GCD of 452, 883, 257, 557

1. What is the GCD of 657, 758, 148, 679?

GCD of 657, 758, 148, 679 is 1

2. Where do I get the detailed procedure to find GCD of 657, 758, 148, 679?

You can find a detailed procedure to find GCD of 657, 758, 148, 679 on our page.

3. How to find GCD of 657, 758, 148, 679 on a calculator?

You can find the GCD of 657, 758, 148, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.