GCD of 534, 698, 66, 304 Calculator

Given Input numbers are 534, 698, 66, 304

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

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 534, 698, 66, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 698, 66, 304 is 2.

Therefore, GCD of numbers 534, 698, 66, 304 is 2

Given Input Data is 534, 698, 66, 304

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

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 698 is 2 x 349

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 304 is 2 x 2 x 2 x 2 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(534, 698) = 186366

GCD(534, 698) = ( 534 x 698 ) / 186366

GCD(534, 698) = 372732 / 186366

GCD(534, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

GCD of 534, 698, 66, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 751, 786, 13, 499
• GCD of 971, 304, 41, 399
• GCD of 554, 626, 79, 219
• GCD of 470, 123, 58, 135
• GCD of 429, 856, 10, 856

1. What is the GCD of 534, 698, 66, 304?

GCD of 534, 698, 66, 304 is 2

2. Where do I get the detailed procedure to find GCD of 534, 698, 66, 304?

You can find a detailed procedure to find GCD of 534, 698, 66, 304 on our page.

3. How to find GCD of 534, 698, 66, 304 on a calculator?

You can find the GCD of 534, 698, 66, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.