GCD of 138, 686, 764, 547 Calculator

Given Input numbers are 138, 686, 764, 547

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 138, 686, 764, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 686, 764, 547 is 1.

Therefore, GCD of numbers 138, 686, 764, 547 is 1

Given Input Data is 138, 686, 764, 547

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 547 is 547

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(138, 686) = 47334

GCD(138, 686) = ( 138 x 686 ) / 47334

GCD(138, 686) = 94668 / 47334

GCD(138, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 547

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

LCM(2, 547) = 1094

GCD(2, 547) = ( 2 x 547 ) / 1094

GCD(2, 547) = 1094 / 1094

GCD(2, 547) = 1

GCD of 138, 686, 764, 547 is 1

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1. What is the GCD of 138, 686, 764, 547?

GCD of 138, 686, 764, 547 is 1

2. Where do I get the detailed procedure to find GCD of 138, 686, 764, 547?

You can find a detailed procedure to find GCD of 138, 686, 764, 547 on our page.

3. How to find GCD of 138, 686, 764, 547 on a calculator?

You can find the GCD of 138, 686, 764, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.