GCD of 703, 214, 340, 603 Calculator

Given Input numbers are 703, 214, 340, 603

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Greatest Common Divisior

We found the divisors of 703, 214, 340, 603 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 214, 340, 603 is 1.

Therefore, GCD of numbers 703, 214, 340, 603 is 1

Given Input Data is 703, 214, 340, 603

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 214 is 2 x 107

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 603 is 3 x 3 x 67

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, 214) = 150442

GCD(703, 214) = ( 703 x 214 ) / 150442

GCD(703, 214) = 150442 / 150442

GCD(703, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

GCD of 703, 214, 340, 603 is 1

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1. What is the GCD of 703, 214, 340, 603?

GCD of 703, 214, 340, 603 is 1

2. Where do I get the detailed procedure to find GCD of 703, 214, 340, 603?

You can find a detailed procedure to find GCD of 703, 214, 340, 603 on our page.

3. How to find GCD of 703, 214, 340, 603 on a calculator?

You can find the GCD of 703, 214, 340, 603 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.