GCD of 97, 726, 709, 164 Calculator

Given Input numbers are 97, 726, 709, 164

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 97, 726, 709, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 726, 709, 164 is 1.

Therefore, GCD of numbers 97, 726, 709, 164 is 1

Given Input Data is 97, 726, 709, 164

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

Prime Factorization of 97 is 97

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 709 is 709

Prime Factorization of 164 is 2 x 2 x 41

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(97, 726) = 70422

GCD(97, 726) = ( 97 x 726 ) / 70422

GCD(97, 726) = 70422 / 70422

GCD(97, 726) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 97, 726, 709, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 578, 647, 264
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• GCD of 45, 256, 193, 543
• GCD of 94, 386, 129, 697

1. What is the GCD of 97, 726, 709, 164?

GCD of 97, 726, 709, 164 is 1

2. Where do I get the detailed procedure to find GCD of 97, 726, 709, 164?

You can find a detailed procedure to find GCD of 97, 726, 709, 164 on our page.

3. How to find GCD of 97, 726, 709, 164 on a calculator?

You can find the GCD of 97, 726, 709, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.