GCD of 149, 677, 532, 344 Calculator

Given Input numbers are 149, 677, 532, 344

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 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 149, 677, 532, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 677, 532, 344 is 1.

Therefore, GCD of numbers 149, 677, 532, 344 is 1

Given Input Data is 149, 677, 532, 344

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

Prime Factorization of 149 is 149

Prime Factorization of 677 is 677

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 344 is 2 x 2 x 2 x 43

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, 677) = 100873

GCD(149, 677) = ( 149 x 677 ) / 100873

GCD(149, 677) = 100873 / 100873

GCD(149, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 149, 677, 532, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 542, 694, 957
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• GCD of 722, 246, 733, 640

1. What is the GCD of 149, 677, 532, 344?

GCD of 149, 677, 532, 344 is 1

2. Where do I get the detailed procedure to find GCD of 149, 677, 532, 344?

You can find a detailed procedure to find GCD of 149, 677, 532, 344 on our page.

3. How to find GCD of 149, 677, 532, 344 on a calculator?

You can find the GCD of 149, 677, 532, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.