GCD of 98, 29, 42, 53 Calculator

Given Input numbers are 98, 29, 42, 53

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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 98, 29, 42, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 29, 42, 53 is 1.

Therefore, GCD of numbers 98, 29, 42, 53 is 1

Given Input Data is 98, 29, 42, 53

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 29 is 29

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 53 is 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(98, 29) = 2842

GCD(98, 29) = ( 98 x 29 ) / 2842

GCD(98, 29) = 2842 / 2842

GCD(98, 29) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

GCD of 98, 29, 42, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 87, 64, 49
• GCD of 46, 38, 64, 29
• GCD of 48, 19, 90, 90
• GCD of 40, 63, 55, 93
• GCD of 63, 65, 10, 67

1. What is the GCD of 98, 29, 42, 53?

GCD of 98, 29, 42, 53 is 1

2. Where do I get the detailed procedure to find GCD of 98, 29, 42, 53?

You can find a detailed procedure to find GCD of 98, 29, 42, 53 on our page.

3. How to find GCD of 98, 29, 42, 53 on a calculator?

You can find the GCD of 98, 29, 42, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.