GCD of 718, 766, 64, 814 Calculator

Given Input numbers are 718, 766, 64, 814

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 766

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

1, 2, 383, 766

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 718, 766, 64, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 766, 64, 814 is 2.

Therefore, GCD of numbers 718, 766, 64, 814 is 2

Given Input Data is 718, 766, 64, 814

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 766 is 2 x 383

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 814 is 2 x 11 x 37

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(718, 766) = 274994

GCD(718, 766) = ( 718 x 766 ) / 274994

GCD(718, 766) = 549988 / 274994

GCD(718, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

GCD of 718, 766, 64, 814 is 2

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1. What is the GCD of 718, 766, 64, 814?

GCD of 718, 766, 64, 814 is 2

2. Where do I get the detailed procedure to find GCD of 718, 766, 64, 814?

You can find a detailed procedure to find GCD of 718, 766, 64, 814 on our page.

3. How to find GCD of 718, 766, 64, 814 on a calculator?

You can find the GCD of 718, 766, 64, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.