GCD of 332, 466, 490, 786 Calculator

Given Input numbers are 332, 466, 490, 786

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 332, 466, 490, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 466, 490, 786 is 2.

Therefore, GCD of numbers 332, 466, 490, 786 is 2

Given Input Data is 332, 466, 490, 786

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 466 is 2 x 233

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 786 is 2 x 3 x 131

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(332, 466) = 77356

GCD(332, 466) = ( 332 x 466 ) / 77356

GCD(332, 466) = 154712 / 77356

GCD(332, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 490

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

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

GCD(2, 490) = 980 / 490

GCD(2, 490) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 786

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

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

GCD(2, 786) = 1572 / 786

GCD(2, 786) = 2

GCD of 332, 466, 490, 786 is 2

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1. What is the GCD of 332, 466, 490, 786?

GCD of 332, 466, 490, 786 is 2

2. Where do I get the detailed procedure to find GCD of 332, 466, 490, 786?

You can find a detailed procedure to find GCD of 332, 466, 490, 786 on our page.

3. How to find GCD of 332, 466, 490, 786 on a calculator?

You can find the GCD of 332, 466, 490, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.