GCD of 332, 564, 762 Calculator

Given Input numbers are 332, 564, 762

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 332, 564, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 564, 762 is 2.

Therefore, GCD of numbers 332, 564, 762 is 2

Given Input Data is 332, 564, 762

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 564 is 2 x 2 x 3 x 47

Prime Factorization of 762 is 2 x 3 x 127

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, 564) = 46812

GCD(332, 564) = ( 332 x 564 ) / 46812

GCD(332, 564) = 187248 / 46812

GCD(332, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 762

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

LCM(4, 762) = 1524

GCD(4, 762) = ( 4 x 762 ) / 1524

GCD(4, 762) = 3048 / 1524

GCD(4, 762) = 2

GCD of 332, 564, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 107, 719
• GCD of 572, 475, 808
• GCD of 970, 686, 762
• GCD of 192, 792, 927
• GCD of 878, 715, 657

1. What is the GCD of 332, 564, 762?

GCD of 332, 564, 762 is 2

2. Where do I get the detailed procedure to find GCD of 332, 564, 762?

You can find a detailed procedure to find GCD of 332, 564, 762 on our page.

3. How to find GCD of 332, 564, 762 on a calculator?

You can find the GCD of 332, 564, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.