GCD of 139, 307, 690, 296 Calculator

Given Input numbers are 139, 307, 690, 296

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

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 139, 307, 690, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 307, 690, 296 is 1.

Therefore, GCD of numbers 139, 307, 690, 296 is 1

Given Input Data is 139, 307, 690, 296

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

Prime Factorization of 139 is 139

Prime Factorization of 307 is 307

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(139, 307) = 42673

GCD(139, 307) = ( 139 x 307 ) / 42673

GCD(139, 307) = 42673 / 42673

GCD(139, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 139, 307, 690, 296 is 1

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1. What is the GCD of 139, 307, 690, 296?

GCD of 139, 307, 690, 296 is 1

2. Where do I get the detailed procedure to find GCD of 139, 307, 690, 296?

You can find a detailed procedure to find GCD of 139, 307, 690, 296 on our page.

3. How to find GCD of 139, 307, 690, 296 on a calculator?

You can find the GCD of 139, 307, 690, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.