GCD of 435, 960, 453, 764 Calculator

Given Input numbers are 435, 960, 453, 764

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 435, 960, 453, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 960, 453, 764 is 1.

Therefore, GCD of numbers 435, 960, 453, 764 is 1

Given Input Data is 435, 960, 453, 764

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 453 is 3 x 151

Prime Factorization of 764 is 2 x 2 x 191

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(435, 960) = 27840

GCD(435, 960) = ( 435 x 960 ) / 27840

GCD(435, 960) = 417600 / 27840

GCD(435, 960) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 453

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

LCM(15, 453) = 2265

GCD(15, 453) = ( 15 x 453 ) / 2265

GCD(15, 453) = 6795 / 2265

GCD(15, 453) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 764

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

LCM(3, 764) = 2292

GCD(3, 764) = ( 3 x 764 ) / 2292

GCD(3, 764) = 2292 / 2292

GCD(3, 764) = 1

GCD of 435, 960, 453, 764 is 1

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1. What is the GCD of 435, 960, 453, 764?

GCD of 435, 960, 453, 764 is 1

2. Where do I get the detailed procedure to find GCD of 435, 960, 453, 764?

You can find a detailed procedure to find GCD of 435, 960, 453, 764 on our page.

3. How to find GCD of 435, 960, 453, 764 on a calculator?

You can find the GCD of 435, 960, 453, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.