GCD of 298, 536, 69, 106 Calculator

Given Input numbers are 298, 536, 69, 106

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 298, 536, 69, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 536, 69, 106 is 1.

Therefore, GCD of numbers 298, 536, 69, 106 is 1

Given Input Data is 298, 536, 69, 106

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 69 is 3 x 23

Prime Factorization of 106 is 2 x 53

The above numbers do not have any common prime factor. So GCD is 1

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(298, 536) = 79864

GCD(298, 536) = ( 298 x 536 ) / 79864

GCD(298, 536) = 159728 / 79864

GCD(298, 536) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 298, 536, 69, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 393, 28, 196
• GCD of 788, 922, 65, 851
• GCD of 861, 489, 84, 618
• GCD of 106, 196, 95, 185
• GCD of 375, 816, 65, 830

1. What is the GCD of 298, 536, 69, 106?

GCD of 298, 536, 69, 106 is 1

2. Where do I get the detailed procedure to find GCD of 298, 536, 69, 106?

You can find a detailed procedure to find GCD of 298, 536, 69, 106 on our page.

3. How to find GCD of 298, 536, 69, 106 on a calculator?

You can find the GCD of 298, 536, 69, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.