GCD of 149, 561, 542, 688 Calculator

Given Input numbers are 149, 561, 542, 688

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 149, 561, 542, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 561, 542, 688 is 1.

Therefore, GCD of numbers 149, 561, 542, 688 is 1

Given Input Data is 149, 561, 542, 688

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

Prime Factorization of 149 is 149

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 542 is 2 x 271

Prime Factorization of 688 is 2 x 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, 561) = 83589

GCD(149, 561) = ( 149 x 561 ) / 83589

GCD(149, 561) = 83589 / 83589

GCD(149, 561) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 149, 561, 542, 688 is 1

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1. What is the GCD of 149, 561, 542, 688?

GCD of 149, 561, 542, 688 is 1

2. Where do I get the detailed procedure to find GCD of 149, 561, 542, 688?

You can find a detailed procedure to find GCD of 149, 561, 542, 688 on our page.

3. How to find GCD of 149, 561, 542, 688 on a calculator?

You can find the GCD of 149, 561, 542, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.