GCD of 31, 658, 461, 680 Calculator

Given Input numbers are 31, 658, 461, 680

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 31, 658, 461, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 658, 461, 680 is 1.

Therefore, GCD of numbers 31, 658, 461, 680 is 1

Given Input Data is 31, 658, 461, 680

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

Prime Factorization of 31 is 31

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 461 is 461

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(31, 658) = 20398

GCD(31, 658) = ( 31 x 658 ) / 20398

GCD(31, 658) = 20398 / 20398

GCD(31, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 31, 658, 461, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 478, 744, 480
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• GCD of 17, 242, 851, 560
• GCD of 84, 792, 377, 123
• GCD of 74, 532, 524, 431

1. What is the GCD of 31, 658, 461, 680?

GCD of 31, 658, 461, 680 is 1

2. Where do I get the detailed procedure to find GCD of 31, 658, 461, 680?

You can find a detailed procedure to find GCD of 31, 658, 461, 680 on our page.

3. How to find GCD of 31, 658, 461, 680 on a calculator?

You can find the GCD of 31, 658, 461, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.