GCD of 703, 492, 547, 314 Calculator

Given Input numbers are 703, 492, 547, 314

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 547

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

1, 547

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 703, 492, 547, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 492, 547, 314 is 1.

Therefore, GCD of numbers 703, 492, 547, 314 is 1

Given Input Data is 703, 492, 547, 314

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 547 is 547

Prime Factorization of 314 is 2 x 157

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(703, 492) = 345876

GCD(703, 492) = ( 703 x 492 ) / 345876

GCD(703, 492) = 345876 / 345876

GCD(703, 492) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 703, 492, 547, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 558, 723, 214
• GCD of 453, 484, 229, 588
• GCD of 453, 210, 463, 316
• GCD of 956, 129, 419, 111
• GCD of 945, 987, 188, 703

1. What is the GCD of 703, 492, 547, 314?

GCD of 703, 492, 547, 314 is 1

2. Where do I get the detailed procedure to find GCD of 703, 492, 547, 314?

You can find a detailed procedure to find GCD of 703, 492, 547, 314 on our page.

3. How to find GCD of 703, 492, 547, 314 on a calculator?

You can find the GCD of 703, 492, 547, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.