GCD of 762, 466, 861, 768 Calculator

Given Input numbers are 762, 466, 861, 768

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

Divisors of 762

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

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

Divisors of 466

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

1, 2, 233, 466

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 762, 466, 861, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 466, 861, 768 is 1.

Therefore, GCD of numbers 762, 466, 861, 768 is 1

Given Input Data is 762, 466, 861, 768

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 466 is 2 x 233

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(762, 466) = 177546

GCD(762, 466) = ( 762 x 466 ) / 177546

GCD(762, 466) = 355092 / 177546

GCD(762, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 762, 466, 861, 768 is 1

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1. What is the GCD of 762, 466, 861, 768?

GCD of 762, 466, 861, 768 is 1

2. Where do I get the detailed procedure to find GCD of 762, 466, 861, 768?

You can find a detailed procedure to find GCD of 762, 466, 861, 768 on our page.

3. How to find GCD of 762, 466, 861, 768 on a calculator?

You can find the GCD of 762, 466, 861, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.