GCD of 60, 478, 946, 851 Calculator

Given Input numbers are 60, 478, 946, 851

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 60, 478, 946, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 478, 946, 851 is 1.

Therefore, GCD of numbers 60, 478, 946, 851 is 1

Given Input Data is 60, 478, 946, 851

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 478 is 2 x 239

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 851 is 23 x 37

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(60, 478) = 14340

GCD(60, 478) = ( 60 x 478 ) / 14340

GCD(60, 478) = 28680 / 14340

GCD(60, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 946

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

LCM(2, 946) = 946

GCD(2, 946) = ( 2 x 946 ) / 946

GCD(2, 946) = 1892 / 946

GCD(2, 946) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 851

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

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

GCD(2, 851) = 1702 / 1702

GCD(2, 851) = 1

GCD of 60, 478, 946, 851 is 1

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• GCD of 19, 661, 294, 732
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1. What is the GCD of 60, 478, 946, 851?

GCD of 60, 478, 946, 851 is 1

2. Where do I get the detailed procedure to find GCD of 60, 478, 946, 851?

You can find a detailed procedure to find GCD of 60, 478, 946, 851 on our page.

3. How to find GCD of 60, 478, 946, 851 on a calculator?

You can find the GCD of 60, 478, 946, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.