GCD of 35, 90, 61, 98 Calculator

Given Input numbers are 35, 90, 61, 98

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

Divisors of 35

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

1, 5, 7, 35

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 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 98

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

1, 2, 7, 14, 49, 98

Greatest Common Divisior

We found the divisors of 35, 90, 61, 98 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 90, 61, 98 is 1.

Therefore, GCD of numbers 35, 90, 61, 98 is 1

Given Input Data is 35, 90, 61, 98

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

Prime Factorization of 35 is 5 x 7

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

Prime Factorization of 61 is 61

Prime Factorization of 98 is 2 x 7 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(35, 90) = 630

GCD(35, 90) = ( 35 x 90 ) / 630

GCD(35, 90) = 3150 / 630

GCD(35, 90) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 61

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

LCM(5, 61) = 305

GCD(5, 61) = ( 5 x 61 ) / 305

GCD(5, 61) = 305 / 305

GCD(5, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

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

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

GCD of 35, 90, 61, 98 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 34, 66, 35
• GCD of 56, 15, 81, 60
• GCD of 18, 71, 52, 35
• GCD of 37, 82, 76, 89
• GCD of 93, 72, 49, 95

1. What is the GCD of 35, 90, 61, 98?

GCD of 35, 90, 61, 98 is 1

2. Where do I get the detailed procedure to find GCD of 35, 90, 61, 98?

You can find a detailed procedure to find GCD of 35, 90, 61, 98 on our page.

3. How to find GCD of 35, 90, 61, 98 on a calculator?

You can find the GCD of 35, 90, 61, 98 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.