GCD of 766, 840, 820, 747 Calculator

Given Input numbers are 766, 840, 820, 747

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 766, 840, 820, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 840, 820, 747 is 1.

Therefore, GCD of numbers 766, 840, 820, 747 is 1

Given Input Data is 766, 840, 820, 747

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 747 is 3 x 3 x 83

The above numbers do not have any common prime factor. So GCD is 1

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, 840) = 321720

GCD(766, 840) = ( 766 x 840 ) / 321720

GCD(766, 840) = 643440 / 321720

GCD(766, 840) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

GCD of 766, 840, 820, 747 is 1

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1. What is the GCD of 766, 840, 820, 747?

GCD of 766, 840, 820, 747 is 1

2. Where do I get the detailed procedure to find GCD of 766, 840, 820, 747?

You can find a detailed procedure to find GCD of 766, 840, 820, 747 on our page.

3. How to find GCD of 766, 840, 820, 747 on a calculator?

You can find the GCD of 766, 840, 820, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.