GCD of 465, 414, 88, 392 Calculator

Given Input numbers are 465, 414, 88, 392

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 465, 414, 88, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 414, 88, 392 is 1.

Therefore, GCD of numbers 465, 414, 88, 392 is 1

Given Input Data is 465, 414, 88, 392

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 414 is 2 x 3 x 3 x 23

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

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(465, 414) = 64170

GCD(465, 414) = ( 465 x 414 ) / 64170

GCD(465, 414) = 192510 / 64170

GCD(465, 414) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 88

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

LCM(3, 88) = 264

GCD(3, 88) = ( 3 x 88 ) / 264

GCD(3, 88) = 264 / 264

GCD(3, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

GCD of 465, 414, 88, 392 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 733, 27, 134
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• GCD of 656, 356, 37, 147
• GCD of 671, 730, 87, 938
• GCD of 976, 227, 17, 606

1. What is the GCD of 465, 414, 88, 392?

GCD of 465, 414, 88, 392 is 1

2. Where do I get the detailed procedure to find GCD of 465, 414, 88, 392?

You can find a detailed procedure to find GCD of 465, 414, 88, 392 on our page.

3. How to find GCD of 465, 414, 88, 392 on a calculator?

You can find the GCD of 465, 414, 88, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.