GCD of 766, 768, 61, 414 Calculator

Given Input numbers are 766, 768, 61, 414

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 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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 766, 768, 61, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 768, 61, 414 is 1.

Therefore, GCD of numbers 766, 768, 61, 414 is 1

Given Input Data is 766, 768, 61, 414

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

Prime Factorization of 766 is 2 x 383

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

Prime Factorization of 61 is 61

Prime Factorization of 414 is 2 x 3 x 3 x 23

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, 768) = 294144

GCD(766, 768) = ( 766 x 768 ) / 294144

GCD(766, 768) = 588288 / 294144

GCD(766, 768) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 766, 768, 61, 414 is 1

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• GCD of 231, 671, 33, 747
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1. What is the GCD of 766, 768, 61, 414?

GCD of 766, 768, 61, 414 is 1

2. Where do I get the detailed procedure to find GCD of 766, 768, 61, 414?

You can find a detailed procedure to find GCD of 766, 768, 61, 414 on our page.

3. How to find GCD of 766, 768, 61, 414 on a calculator?

You can find the GCD of 766, 768, 61, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.