GCD of 53, 318, 703, 381 Calculator

Given Input numbers are 53, 318, 703, 381

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 703

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

1, 19, 37, 703

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 53, 318, 703, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 318, 703, 381 is 1.

Therefore, GCD of numbers 53, 318, 703, 381 is 1

Given Input Data is 53, 318, 703, 381

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

Prime Factorization of 53 is 53

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 703 is 19 x 37

Prime Factorization of 381 is 3 x 127

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(53, 318) = 318

GCD(53, 318) = ( 53 x 318 ) / 318

GCD(53, 318) = 16854 / 318

GCD(53, 318) = 53

Step2:

Here we consider the GCD from the above i.e. 53 as first number and the next as 703

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

LCM(53, 703) = 37259

GCD(53, 703) = ( 53 x 703 ) / 37259

GCD(53, 703) = 37259 / 37259

GCD(53, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 53, 318, 703, 381 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 590, 543, 960
• GCD of 85, 128, 489, 415
• GCD of 88, 971, 186, 735
• GCD of 92, 778, 874, 597
• GCD of 29, 315, 945, 161

1. What is the GCD of 53, 318, 703, 381?

GCD of 53, 318, 703, 381 is 1

2. Where do I get the detailed procedure to find GCD of 53, 318, 703, 381?

You can find a detailed procedure to find GCD of 53, 318, 703, 381 on our page.

3. How to find GCD of 53, 318, 703, 381 on a calculator?

You can find the GCD of 53, 318, 703, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.