GCD of 766, 812, 90, 964 Calculator

Given Input numbers are 766, 812, 90, 964

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

Divisors of 766

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

1, 2, 383, 766

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 766, 812, 90, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 812, 90, 964 is 2.

Therefore, GCD of numbers 766, 812, 90, 964 is 2

Given Input Data is 766, 812, 90, 964

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 964 is 2 x 2 x 241

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(766, 812) = 310996

GCD(766, 812) = ( 766 x 812 ) / 310996

GCD(766, 812) = 621992 / 310996

GCD(766, 812) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

GCD of 766, 812, 90, 964 is 2

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1. What is the GCD of 766, 812, 90, 964?

GCD of 766, 812, 90, 964 is 2

2. Where do I get the detailed procedure to find GCD of 766, 812, 90, 964?

You can find a detailed procedure to find GCD of 766, 812, 90, 964 on our page.

3. How to find GCD of 766, 812, 90, 964 on a calculator?

You can find the GCD of 766, 812, 90, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.