GCD of 98, 21, 90, 74 Calculator

Given Input numbers are 98, 21, 90, 74

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 74

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

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 98, 21, 90, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 21, 90, 74 is 1.

Therefore, GCD of numbers 98, 21, 90, 74 is 1

Given Input Data is 98, 21, 90, 74

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 21 is 3 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 74 is 2 x 37

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, 21) = 294

GCD(98, 21) = ( 98 x 21 ) / 294

GCD(98, 21) = 2058 / 294

GCD(98, 21) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 90

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

LCM(7, 90) = 630

GCD(7, 90) = ( 7 x 90 ) / 630

GCD(7, 90) = 630 / 630

GCD(7, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 98, 21, 90, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 56, 62, 28
• GCD of 48, 41, 19, 56
• GCD of 53, 64, 90, 17
• GCD of 10, 16, 21, 75
• GCD of 53, 95, 32, 69

1. What is the GCD of 98, 21, 90, 74?

GCD of 98, 21, 90, 74 is 1

2. Where do I get the detailed procedure to find GCD of 98, 21, 90, 74?

You can find a detailed procedure to find GCD of 98, 21, 90, 74 on our page.

3. How to find GCD of 98, 21, 90, 74 on a calculator?

You can find the GCD of 98, 21, 90, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.