GCD of 753, 824, 420 Calculator

Given Input numbers are 753, 824, 420

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 753, 824, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 824, 420 is 1.

Therefore, GCD of numbers 753, 824, 420 is 1

Given Input Data is 753, 824, 420

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(753, 824) = 620472

GCD(753, 824) = ( 753 x 824 ) / 620472

GCD(753, 824) = 620472 / 620472

GCD(753, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 753, 824, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 650, 279
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• GCD of 667, 954, 625
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1. What is the GCD of 753, 824, 420?

GCD of 753, 824, 420 is 1

2. Where do I get the detailed procedure to find GCD of 753, 824, 420?

You can find a detailed procedure to find GCD of 753, 824, 420 on our page.

3. How to find GCD of 753, 824, 420 on a calculator?

You can find the GCD of 753, 824, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.