GCD of 234, 696, 154, 570 Calculator

Given Input numbers are 234, 696, 154, 570

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

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 234, 696, 154, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 696, 154, 570 is 2.

Therefore, GCD of numbers 234, 696, 154, 570 is 2

Given Input Data is 234, 696, 154, 570

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 570 is 2 x 3 x 5 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(234, 696) = 27144

GCD(234, 696) = ( 234 x 696 ) / 27144

GCD(234, 696) = 162864 / 27144

GCD(234, 696) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 154

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

LCM(6, 154) = 462

GCD(6, 154) = ( 6 x 154 ) / 462

GCD(6, 154) = 924 / 462

GCD(6, 154) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 570

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

LCM(2, 570) = 570

GCD(2, 570) = ( 2 x 570 ) / 570

GCD(2, 570) = 1140 / 570

GCD(2, 570) = 2

GCD of 234, 696, 154, 570 is 2

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1. What is the GCD of 234, 696, 154, 570?

GCD of 234, 696, 154, 570 is 2

2. Where do I get the detailed procedure to find GCD of 234, 696, 154, 570?

You can find a detailed procedure to find GCD of 234, 696, 154, 570 on our page.

3. How to find GCD of 234, 696, 154, 570 on a calculator?

You can find the GCD of 234, 696, 154, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.