GCD of 117, 431, 406, 661 Calculator

Given Input numbers are 117, 431, 406, 661

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 661

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

1, 661

Greatest Common Divisior

We found the divisors of 117, 431, 406, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 431, 406, 661 is 1.

Therefore, GCD of numbers 117, 431, 406, 661 is 1

Given Input Data is 117, 431, 406, 661

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 431 is 431

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 661 is 661

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(117, 431) = 50427

GCD(117, 431) = ( 117 x 431 ) / 50427

GCD(117, 431) = 50427 / 50427

GCD(117, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

Step3:

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

GCD of 117, 431, 406, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 979, 281, 544
• GCD of 339, 376, 198, 262
• GCD of 520, 439, 941, 227
• GCD of 736, 976, 681, 943
• GCD of 470, 993, 762, 949

1. What is the GCD of 117, 431, 406, 661?

GCD of 117, 431, 406, 661 is 1

2. Where do I get the detailed procedure to find GCD of 117, 431, 406, 661?

You can find a detailed procedure to find GCD of 117, 431, 406, 661 on our page.

3. How to find GCD of 117, 431, 406, 661 on a calculator?

You can find the GCD of 117, 431, 406, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.