GCD of 172, 474, 88, 461 Calculator

Given Input numbers are 172, 474, 88, 461

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 461

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

1, 461

Greatest Common Divisior

We found the divisors of 172, 474, 88, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 474, 88, 461 is 1.

Therefore, GCD of numbers 172, 474, 88, 461 is 1

Given Input Data is 172, 474, 88, 461

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 461 is 461

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(172, 474) = 40764

GCD(172, 474) = ( 172 x 474 ) / 40764

GCD(172, 474) = 81528 / 40764

GCD(172, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

GCD of 172, 474, 88, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 486, 78, 781
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• GCD of 510, 712, 92, 383
• GCD of 835, 700, 22, 829
• GCD of 637, 797, 30, 891

1. What is the GCD of 172, 474, 88, 461?

GCD of 172, 474, 88, 461 is 1

2. Where do I get the detailed procedure to find GCD of 172, 474, 88, 461?

You can find a detailed procedure to find GCD of 172, 474, 88, 461 on our page.

3. How to find GCD of 172, 474, 88, 461 on a calculator?

You can find the GCD of 172, 474, 88, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.