GCD of 258, 159, 435, 762 Calculator

Given Input numbers are 258, 159, 435, 762

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 762

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

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

Greatest Common Divisior

We found the divisors of 258, 159, 435, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 159, 435, 762 is 3.

Therefore, GCD of numbers 258, 159, 435, 762 is 3

Given Input Data is 258, 159, 435, 762

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 159 is 3 x 53

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 762 is 2 x 3 x 127

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(258, 159) = 13674

GCD(258, 159) = ( 258 x 159 ) / 13674

GCD(258, 159) = 41022 / 13674

GCD(258, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 435

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

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

GCD(3, 435) = 1305 / 435

GCD(3, 435) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 762

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

LCM(3, 762) = 762

GCD(3, 762) = ( 3 x 762 ) / 762

GCD(3, 762) = 2286 / 762

GCD(3, 762) = 3

GCD of 258, 159, 435, 762 is 3

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1. What is the GCD of 258, 159, 435, 762?

GCD of 258, 159, 435, 762 is 3

2. Where do I get the detailed procedure to find GCD of 258, 159, 435, 762?

You can find a detailed procedure to find GCD of 258, 159, 435, 762 on our page.

3. How to find GCD of 258, 159, 435, 762 on a calculator?

You can find the GCD of 258, 159, 435, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.