GCD of 684, 503, 402, 314 Calculator

Given Input numbers are 684, 503, 402, 314

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 684, 503, 402, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 503, 402, 314 is 1.

Therefore, GCD of numbers 684, 503, 402, 314 is 1

Given Input Data is 684, 503, 402, 314

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 503 is 503

Prime Factorization of 402 is 2 x 3 x 67

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(684, 503) = 344052

GCD(684, 503) = ( 684 x 503 ) / 344052

GCD(684, 503) = 344052 / 344052

GCD(684, 503) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 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 684, 503, 402, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 161, 630, 149
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• GCD of 316, 968, 627, 619
• GCD of 952, 934, 934, 129

1. What is the GCD of 684, 503, 402, 314?

GCD of 684, 503, 402, 314 is 1

2. Where do I get the detailed procedure to find GCD of 684, 503, 402, 314?

You can find a detailed procedure to find GCD of 684, 503, 402, 314 on our page.

3. How to find GCD of 684, 503, 402, 314 on a calculator?

You can find the GCD of 684, 503, 402, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.