GCD of 235, 506, 402, 766 Calculator

Given Input numbers are 235, 506, 402, 766

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 235, 506, 402, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 506, 402, 766 is 1.

Therefore, GCD of numbers 235, 506, 402, 766 is 1

Given Input Data is 235, 506, 402, 766

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 402 is 2 x 3 x 67

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(235, 506) = 118910

GCD(235, 506) = ( 235 x 506 ) / 118910

GCD(235, 506) = 118910 / 118910

GCD(235, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 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 235, 506, 402, 766 is 1

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1. What is the GCD of 235, 506, 402, 766?

GCD of 235, 506, 402, 766 is 1

2. Where do I get the detailed procedure to find GCD of 235, 506, 402, 766?

You can find a detailed procedure to find GCD of 235, 506, 402, 766 on our page.

3. How to find GCD of 235, 506, 402, 766 on a calculator?

You can find the GCD of 235, 506, 402, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.