GCD of 98, 16, 10, 89 Calculator

Given Input numbers are 98, 16, 10, 89

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 98, 16, 10, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 16, 10, 89 is 1.

Therefore, GCD of numbers 98, 16, 10, 89 is 1

Given Input Data is 98, 16, 10, 89

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 10 is 2 x 5

Prime Factorization of 89 is 89

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(98, 16) = 784

GCD(98, 16) = ( 98 x 16 ) / 784

GCD(98, 16) = 1568 / 784

GCD(98, 16) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

GCD of 98, 16, 10, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 73, 43, 68
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• GCD of 96, 61, 65, 15
• GCD of 38, 59, 93, 80
• GCD of 43, 15, 87, 33

1. What is the GCD of 98, 16, 10, 89?

GCD of 98, 16, 10, 89 is 1

2. Where do I get the detailed procedure to find GCD of 98, 16, 10, 89?

You can find a detailed procedure to find GCD of 98, 16, 10, 89 on our page.

3. How to find GCD of 98, 16, 10, 89 on a calculator?

You can find the GCD of 98, 16, 10, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.