GCD of 305, 690, 98, 466 Calculator

Given Input numbers are 305, 690, 98, 466

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 305, 690, 98, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 690, 98, 466 is 1.

Therefore, GCD of numbers 305, 690, 98, 466 is 1

Given Input Data is 305, 690, 98, 466

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 466 is 2 x 233

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(305, 690) = 42090

GCD(305, 690) = ( 305 x 690 ) / 42090

GCD(305, 690) = 210450 / 42090

GCD(305, 690) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 98

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

LCM(5, 98) = 490

GCD(5, 98) = ( 5 x 98 ) / 490

GCD(5, 98) = 490 / 490

GCD(5, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 305, 690, 98, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 764, 60, 465
• GCD of 153, 703, 14, 788
• GCD of 909, 864, 92, 703
• GCD of 261, 141, 61, 260
• GCD of 457, 820, 27, 753

1. What is the GCD of 305, 690, 98, 466?

GCD of 305, 690, 98, 466 is 1

2. Where do I get the detailed procedure to find GCD of 305, 690, 98, 466?

You can find a detailed procedure to find GCD of 305, 690, 98, 466 on our page.

3. How to find GCD of 305, 690, 98, 466 on a calculator?

You can find the GCD of 305, 690, 98, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.