GCD of 461, 967, 493, 654 Calculator

Given Input numbers are 461, 967, 493, 654

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

Divisors of 461

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

1, 461

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 461, 967, 493, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 967, 493, 654 is 1.

Therefore, GCD of numbers 461, 967, 493, 654 is 1

Given Input Data is 461, 967, 493, 654

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

Prime Factorization of 461 is 461

Prime Factorization of 967 is 967

Prime Factorization of 493 is 17 x 29

Prime Factorization of 654 is 2 x 3 x 109

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(461, 967) = 445787

GCD(461, 967) = ( 461 x 967 ) / 445787

GCD(461, 967) = 445787 / 445787

GCD(461, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 461, 967, 493, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 395, 437, 846
• GCD of 377, 292, 140, 646
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• GCD of 962, 498, 326, 726

1. What is the GCD of 461, 967, 493, 654?

GCD of 461, 967, 493, 654 is 1

2. Where do I get the detailed procedure to find GCD of 461, 967, 493, 654?

You can find a detailed procedure to find GCD of 461, 967, 493, 654 on our page.

3. How to find GCD of 461, 967, 493, 654 on a calculator?

You can find the GCD of 461, 967, 493, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.