GCD of 53, 851, 714, 998 Calculator

Given Input numbers are 53, 851, 714, 998

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 53, 851, 714, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 851, 714, 998 is 1.

Therefore, GCD of numbers 53, 851, 714, 998 is 1

Given Input Data is 53, 851, 714, 998

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

Prime Factorization of 53 is 53

Prime Factorization of 851 is 23 x 37

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

Prime Factorization of 998 is 2 x 499

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(53, 851) = 45103

GCD(53, 851) = ( 53 x 851 ) / 45103

GCD(53, 851) = 45103 / 45103

GCD(53, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 53, 851, 714, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 863, 713, 802
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• GCD of 10, 319, 797, 824

1. What is the GCD of 53, 851, 714, 998?

GCD of 53, 851, 714, 998 is 1

2. Where do I get the detailed procedure to find GCD of 53, 851, 714, 998?

You can find a detailed procedure to find GCD of 53, 851, 714, 998 on our page.

3. How to find GCD of 53, 851, 714, 998 on a calculator?

You can find the GCD of 53, 851, 714, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.