GCD of 99, 419, 661, 959 Calculator

Given Input numbers are 99, 419, 661, 959

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 99, 419, 661, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 419, 661, 959 is 1.

Therefore, GCD of numbers 99, 419, 661, 959 is 1

Given Input Data is 99, 419, 661, 959

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 419 is 419

Prime Factorization of 661 is 661

Prime Factorization of 959 is 7 x 137

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(99, 419) = 41481

GCD(99, 419) = ( 99 x 419 ) / 41481

GCD(99, 419) = 41481 / 41481

GCD(99, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 99, 419, 661, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 175, 473, 644
• GCD of 18, 622, 146, 859
• GCD of 54, 462, 601, 789
• GCD of 94, 548, 777, 500
• GCD of 62, 676, 619, 883

1. What is the GCD of 99, 419, 661, 959?

GCD of 99, 419, 661, 959 is 1

2. Where do I get the detailed procedure to find GCD of 99, 419, 661, 959?

You can find a detailed procedure to find GCD of 99, 419, 661, 959 on our page.

3. How to find GCD of 99, 419, 661, 959 on a calculator?

You can find the GCD of 99, 419, 661, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.