GCD of 98, 1, 71, 35 Calculator

Given Input numbers are 98, 1, 71, 35

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 1

List of positive integer divisors of 1 that divides 1 without a remainder.

1

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Greatest Common Divisior

We found the divisors of 98, 1, 71, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 1, 71, 35 is 1.

Therefore, GCD of numbers 98, 1, 71, 35 is 1

Given Input Data is 98, 1, 71, 35

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 1 is

Prime Factorization of 71 is 71

Prime Factorization of 35 is 5 x 7

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, 1) = 98

GCD(98, 1) = ( 98 x 1 ) / 98

GCD(98, 1) = 98 / 98

GCD(98, 1) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

GCD of 98, 1, 71, 35 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 6, 17, 37
• GCD of 43, 3, 15, 74
• GCD of 74, 4, 49, 62
• GCD of 43, 8, 68, 91
• GCD of 80, 8, 66, 62

1. What is the GCD of 98, 1, 71, 35?

GCD of 98, 1, 71, 35 is 1

2. Where do I get the detailed procedure to find GCD of 98, 1, 71, 35?

You can find a detailed procedure to find GCD of 98, 1, 71, 35 on our page.

3. How to find GCD of 98, 1, 71, 35 on a calculator?

You can find the GCD of 98, 1, 71, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.