GCD of 614, 559, 630, 708 Calculator

Given Input numbers are 614, 559, 630, 708

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 614, 559, 630, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 559, 630, 708 is 1.

Therefore, GCD of numbers 614, 559, 630, 708 is 1

Given Input Data is 614, 559, 630, 708

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 559 is 13 x 43

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(614, 559) = 343226

GCD(614, 559) = ( 614 x 559 ) / 343226

GCD(614, 559) = 343226 / 343226

GCD(614, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 614, 559, 630, 708 is 1

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• GCD of 998, 964, 694, 818
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• GCD of 437, 626, 787, 899

1. What is the GCD of 614, 559, 630, 708?

GCD of 614, 559, 630, 708 is 1

2. Where do I get the detailed procedure to find GCD of 614, 559, 630, 708?

You can find a detailed procedure to find GCD of 614, 559, 630, 708 on our page.

3. How to find GCD of 614, 559, 630, 708 on a calculator?

You can find the GCD of 614, 559, 630, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.