GCD of 562, 230, 74, 134 Calculator

Given Input numbers are 562, 230, 74, 134

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 562, 230, 74, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 230, 74, 134 is 2.

Therefore, GCD of numbers 562, 230, 74, 134 is 2

Given Input Data is 562, 230, 74, 134

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 134 is 2 x 67

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(562, 230) = 64630

GCD(562, 230) = ( 562 x 230 ) / 64630

GCD(562, 230) = 129260 / 64630

GCD(562, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

GCD of 562, 230, 74, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 360, 60, 994
• GCD of 152, 802, 73, 540
• GCD of 418, 939, 85, 521
• GCD of 399, 501, 32, 557
• GCD of 764, 703, 83, 310

1. What is the GCD of 562, 230, 74, 134?

GCD of 562, 230, 74, 134 is 2

2. Where do I get the detailed procedure to find GCD of 562, 230, 74, 134?

You can find a detailed procedure to find GCD of 562, 230, 74, 134 on our page.

3. How to find GCD of 562, 230, 74, 134 on a calculator?

You can find the GCD of 562, 230, 74, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.