GCD of 319, 707, 764, 298 Calculator

Given Input numbers are 319, 707, 764, 298

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 707

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

1, 7, 101, 707

Divisors of 764

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

1, 2, 4, 191, 382, 764

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 319, 707, 764, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 707, 764, 298 is 1.

Therefore, GCD of numbers 319, 707, 764, 298 is 1

Given Input Data is 319, 707, 764, 298

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 707 is 7 x 101

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 298 is 2 x 149

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(319, 707) = 225533

GCD(319, 707) = ( 319 x 707 ) / 225533

GCD(319, 707) = 225533 / 225533

GCD(319, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 319, 707, 764, 298 is 1

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1. What is the GCD of 319, 707, 764, 298?

GCD of 319, 707, 764, 298 is 1

2. Where do I get the detailed procedure to find GCD of 319, 707, 764, 298?

You can find a detailed procedure to find GCD of 319, 707, 764, 298 on our page.

3. How to find GCD of 319, 707, 764, 298 on a calculator?

You can find the GCD of 319, 707, 764, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.