GCD of 10, 471, 766, 678 Calculator

Given Input numbers are 10, 471, 766, 678

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 10, 471, 766, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 471, 766, 678 is 1.

Therefore, GCD of numbers 10, 471, 766, 678 is 1

Given Input Data is 10, 471, 766, 678

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 471 is 3 x 157

Prime Factorization of 766 is 2 x 383

Prime Factorization of 678 is 2 x 3 x 113

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(10, 471) = 4710

GCD(10, 471) = ( 10 x 471 ) / 4710

GCD(10, 471) = 4710 / 4710

GCD(10, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 10, 471, 766, 678 is 1

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1. What is the GCD of 10, 471, 766, 678?

GCD of 10, 471, 766, 678 is 1

2. Where do I get the detailed procedure to find GCD of 10, 471, 766, 678?

You can find a detailed procedure to find GCD of 10, 471, 766, 678 on our page.

3. How to find GCD of 10, 471, 766, 678 on a calculator?

You can find the GCD of 10, 471, 766, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.