GCD of 149, 869, 578, 468 Calculator

Given Input numbers are 149, 869, 578, 468

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

Divisors of 149

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

1, 149

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 149, 869, 578, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 869, 578, 468 is 1.

Therefore, GCD of numbers 149, 869, 578, 468 is 1

Given Input Data is 149, 869, 578, 468

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

Prime Factorization of 149 is 149

Prime Factorization of 869 is 11 x 79

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(149, 869) = 129481

GCD(149, 869) = ( 149 x 869 ) / 129481

GCD(149, 869) = 129481 / 129481

GCD(149, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 149, 869, 578, 468 is 1

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1. What is the GCD of 149, 869, 578, 468?

GCD of 149, 869, 578, 468 is 1

2. Where do I get the detailed procedure to find GCD of 149, 869, 578, 468?

You can find a detailed procedure to find GCD of 149, 869, 578, 468 on our page.

3. How to find GCD of 149, 869, 578, 468 on a calculator?

You can find the GCD of 149, 869, 578, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.