GCD of 314, 601, 842, 564 Calculator

Given Input numbers are 314, 601, 842, 564

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

Divisors of 314

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

1, 2, 157, 314

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 314, 601, 842, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 601, 842, 564 is 1.

Therefore, GCD of numbers 314, 601, 842, 564 is 1

Given Input Data is 314, 601, 842, 564

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 601 is 601

Prime Factorization of 842 is 2 x 421

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(314, 601) = 188714

GCD(314, 601) = ( 314 x 601 ) / 188714

GCD(314, 601) = 188714 / 188714

GCD(314, 601) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 314, 601, 842, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 284, 294, 631
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• GCD of 507, 168, 789, 381
• GCD of 999, 990, 858, 286
• GCD of 716, 601, 954, 708

1. What is the GCD of 314, 601, 842, 564?

GCD of 314, 601, 842, 564 is 1

2. Where do I get the detailed procedure to find GCD of 314, 601, 842, 564?

You can find a detailed procedure to find GCD of 314, 601, 842, 564 on our page.

3. How to find GCD of 314, 601, 842, 564 on a calculator?

You can find the GCD of 314, 601, 842, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.