GCD of 453, 678, 74, 490 Calculator

Given Input numbers are 453, 678, 74, 490

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

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 453, 678, 74, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 678, 74, 490 is 1.

Therefore, GCD of numbers 453, 678, 74, 490 is 1

Given Input Data is 453, 678, 74, 490

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 74 is 2 x 37

Prime Factorization of 490 is 2 x 5 x 7 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(453, 678) = 102378

GCD(453, 678) = ( 453 x 678 ) / 102378

GCD(453, 678) = 307134 / 102378

GCD(453, 678) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 453, 678, 74, 490 is 1

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1. What is the GCD of 453, 678, 74, 490?

GCD of 453, 678, 74, 490 is 1

2. Where do I get the detailed procedure to find GCD of 453, 678, 74, 490?

You can find a detailed procedure to find GCD of 453, 678, 74, 490 on our page.

3. How to find GCD of 453, 678, 74, 490 on a calculator?

You can find the GCD of 453, 678, 74, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.