GCD of 59, 714, 632, 463 Calculator

Given Input numbers are 59, 714, 632, 463

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 59, 714, 632, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 714, 632, 463 is 1.

Therefore, GCD of numbers 59, 714, 632, 463 is 1

Given Input Data is 59, 714, 632, 463

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

Prime Factorization of 59 is 59

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 463 is 463

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(59, 714) = 42126

GCD(59, 714) = ( 59 x 714 ) / 42126

GCD(59, 714) = 42126 / 42126

GCD(59, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 59, 714, 632, 463 is 1

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• GCD of 11, 380, 865, 830
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1. What is the GCD of 59, 714, 632, 463?

GCD of 59, 714, 632, 463 is 1

2. Where do I get the detailed procedure to find GCD of 59, 714, 632, 463?

You can find a detailed procedure to find GCD of 59, 714, 632, 463 on our page.

3. How to find GCD of 59, 714, 632, 463 on a calculator?

You can find the GCD of 59, 714, 632, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.