GCD of 476, 514, 69, 766 Calculator

Given Input numbers are 476, 514, 69, 766

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 766

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

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 476, 514, 69, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 514, 69, 766 is 1.

Therefore, GCD of numbers 476, 514, 69, 766 is 1

Given Input Data is 476, 514, 69, 766

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 514 is 2 x 257

Prime Factorization of 69 is 3 x 23

Prime Factorization of 766 is 2 x 383

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(476, 514) = 122332

GCD(476, 514) = ( 476 x 514 ) / 122332

GCD(476, 514) = 244664 / 122332

GCD(476, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 476, 514, 69, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 246, 46, 248
• GCD of 233, 175, 79, 706
• GCD of 223, 792, 83, 129
• GCD of 968, 481, 23, 457
• GCD of 305, 602, 64, 731

1. What is the GCD of 476, 514, 69, 766?

GCD of 476, 514, 69, 766 is 1

2. Where do I get the detailed procedure to find GCD of 476, 514, 69, 766?

You can find a detailed procedure to find GCD of 476, 514, 69, 766 on our page.

3. How to find GCD of 476, 514, 69, 766 on a calculator?

You can find the GCD of 476, 514, 69, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.