GCD of 678, 149, 79, 658 Calculator

Given Input numbers are 678, 149, 79, 658

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 678, 149, 79, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 149, 79, 658 is 1.

Therefore, GCD of numbers 678, 149, 79, 658 is 1

Given Input Data is 678, 149, 79, 658

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 149 is 149

Prime Factorization of 79 is 79

Prime Factorization of 658 is 2 x 7 x 47

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(678, 149) = 101022

GCD(678, 149) = ( 678 x 149 ) / 101022

GCD(678, 149) = 101022 / 101022

GCD(678, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 678, 149, 79, 658 is 1

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1. What is the GCD of 678, 149, 79, 658?

GCD of 678, 149, 79, 658 is 1

2. Where do I get the detailed procedure to find GCD of 678, 149, 79, 658?

You can find a detailed procedure to find GCD of 678, 149, 79, 658 on our page.

3. How to find GCD of 678, 149, 79, 658 on a calculator?

You can find the GCD of 678, 149, 79, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.