GCD of 493, 278, 84, 753 Calculator

Given Input numbers are 493, 278, 84, 753

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 753

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

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 493, 278, 84, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 278, 84, 753 is 1.

Therefore, GCD of numbers 493, 278, 84, 753 is 1

Given Input Data is 493, 278, 84, 753

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 278 is 2 x 139

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 753 is 3 x 251

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(493, 278) = 137054

GCD(493, 278) = ( 493 x 278 ) / 137054

GCD(493, 278) = 137054 / 137054

GCD(493, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 493, 278, 84, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 450, 27, 137
• GCD of 431, 383, 37, 987
• GCD of 854, 831, 77, 764
• GCD of 289, 997, 42, 986
• GCD of 213, 503, 25, 832

1. What is the GCD of 493, 278, 84, 753?

GCD of 493, 278, 84, 753 is 1

2. Where do I get the detailed procedure to find GCD of 493, 278, 84, 753?

You can find a detailed procedure to find GCD of 493, 278, 84, 753 on our page.

3. How to find GCD of 493, 278, 84, 753 on a calculator?

You can find the GCD of 493, 278, 84, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.