GCD of 678, 475, 40, 490 Calculator

Given Input numbers are 678, 475, 40, 490

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

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 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 678, 475, 40, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 475, 40, 490 is 1.

Therefore, GCD of numbers 678, 475, 40, 490 is 1

Given Input Data is 678, 475, 40, 490

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(678, 475) = 322050

GCD(678, 475) = ( 678 x 475 ) / 322050

GCD(678, 475) = 322050 / 322050

GCD(678, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 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 678, 475, 40, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 518, 16, 746
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• GCD of 379, 162, 21, 841
• GCD of 815, 357, 91, 335
• GCD of 753, 245, 88, 991

1. What is the GCD of 678, 475, 40, 490?

GCD of 678, 475, 40, 490 is 1

2. Where do I get the detailed procedure to find GCD of 678, 475, 40, 490?

You can find a detailed procedure to find GCD of 678, 475, 40, 490 on our page.

3. How to find GCD of 678, 475, 40, 490 on a calculator?

You can find the GCD of 678, 475, 40, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.