GCD of 10, 946, 416, 712 Calculator

Given Input numbers are 10, 946, 416, 712

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 946

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

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 10, 946, 416, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 946, 416, 712 is 2.

Therefore, GCD of numbers 10, 946, 416, 712 is 2

Given Input Data is 10, 946, 416, 712

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 712 is 2 x 2 x 2 x 89

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 946) = 4730

GCD(10, 946) = ( 10 x 946 ) / 4730

GCD(10, 946) = 9460 / 4730

GCD(10, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 416

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

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

GCD(2, 416) = 832 / 416

GCD(2, 416) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 712

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

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

GCD(2, 712) = 1424 / 712

GCD(2, 712) = 2

GCD of 10, 946, 416, 712 is 2

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1. What is the GCD of 10, 946, 416, 712?

GCD of 10, 946, 416, 712 is 2

2. Where do I get the detailed procedure to find GCD of 10, 946, 416, 712?

You can find a detailed procedure to find GCD of 10, 946, 416, 712 on our page.

3. How to find GCD of 10, 946, 416, 712 on a calculator?

You can find the GCD of 10, 946, 416, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.