GCD of 707, 274, 39, 359 Calculator

Given Input numbers are 707, 274, 39, 359

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 707, 274, 39, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 274, 39, 359 is 1.

Therefore, GCD of numbers 707, 274, 39, 359 is 1

Given Input Data is 707, 274, 39, 359

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 274 is 2 x 137

Prime Factorization of 39 is 3 x 13

Prime Factorization of 359 is 359

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(707, 274) = 193718

GCD(707, 274) = ( 707 x 274 ) / 193718

GCD(707, 274) = 193718 / 193718

GCD(707, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 707, 274, 39, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 273, 25, 299
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• GCD of 529, 788, 88, 200

1. What is the GCD of 707, 274, 39, 359?

GCD of 707, 274, 39, 359 is 1

2. Where do I get the detailed procedure to find GCD of 707, 274, 39, 359?

You can find a detailed procedure to find GCD of 707, 274, 39, 359 on our page.

3. How to find GCD of 707, 274, 39, 359 on a calculator?

You can find the GCD of 707, 274, 39, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.