GCD of 434, 465, 202, 105 Calculator

Given Input numbers are 434, 465, 202, 105

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 434, 465, 202, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 465, 202, 105 is 1.

Therefore, GCD of numbers 434, 465, 202, 105 is 1

Given Input Data is 434, 465, 202, 105

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 202 is 2 x 101

Prime Factorization of 105 is 3 x 5 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(434, 465) = 6510

GCD(434, 465) = ( 434 x 465 ) / 6510

GCD(434, 465) = 201810 / 6510

GCD(434, 465) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 202

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

LCM(31, 202) = 6262

GCD(31, 202) = ( 31 x 202 ) / 6262

GCD(31, 202) = 6262 / 6262

GCD(31, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 434, 465, 202, 105 is 1

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1. What is the GCD of 434, 465, 202, 105?

GCD of 434, 465, 202, 105 is 1

2. Where do I get the detailed procedure to find GCD of 434, 465, 202, 105?

You can find a detailed procedure to find GCD of 434, 465, 202, 105 on our page.

3. How to find GCD of 434, 465, 202, 105 on a calculator?

You can find the GCD of 434, 465, 202, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.