GCD of 192, 426, 465, 735 Calculator

Given Input numbers are 192, 426, 465, 735

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

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 192, 426, 465, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 426, 465, 735 is 3.

Therefore, GCD of numbers 192, 426, 465, 735 is 3

Given Input Data is 192, 426, 465, 735

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

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 735 is 3 x 5 x 7 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(192, 426) = 13632

GCD(192, 426) = ( 192 x 426 ) / 13632

GCD(192, 426) = 81792 / 13632

GCD(192, 426) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 465

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

LCM(6, 465) = 930

GCD(6, 465) = ( 6 x 465 ) / 930

GCD(6, 465) = 2790 / 930

GCD(6, 465) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 735

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

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

GCD(3, 735) = 2205 / 735

GCD(3, 735) = 3

GCD of 192, 426, 465, 735 is 3

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1. What is the GCD of 192, 426, 465, 735?

GCD of 192, 426, 465, 735 is 3

2. Where do I get the detailed procedure to find GCD of 192, 426, 465, 735?

You can find a detailed procedure to find GCD of 192, 426, 465, 735 on our page.

3. How to find GCD of 192, 426, 465, 735 on a calculator?

You can find the GCD of 192, 426, 465, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.