GCD of 998, 966, 534 Calculator

Given Input numbers are 998, 966, 534

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 534

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

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

Greatest Common Divisior

We found the divisors of 998, 966, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 966, 534 is 2.

Therefore, GCD of numbers 998, 966, 534 is 2

Given Input Data is 998, 966, 534

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 534 is 2 x 3 x 89

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(998, 966) = 482034

GCD(998, 966) = ( 998 x 966 ) / 482034

GCD(998, 966) = 964068 / 482034

GCD(998, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 534

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

LCM(2, 534) = 534

GCD(2, 534) = ( 2 x 534 ) / 534

GCD(2, 534) = 1068 / 534

GCD(2, 534) = 2

GCD of 998, 966, 534 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 283, 280
• GCD of 165, 563, 785
• GCD of 490, 503, 621
• GCD of 287, 543, 158
• GCD of 274, 303, 139

1. What is the GCD of 998, 966, 534?

GCD of 998, 966, 534 is 2

2. Where do I get the detailed procedure to find GCD of 998, 966, 534?

You can find a detailed procedure to find GCD of 998, 966, 534 on our page.

3. How to find GCD of 998, 966, 534 on a calculator?

You can find the GCD of 998, 966, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.