GCD of 957, 435, 800 Calculator

Given Input numbers are 957, 435, 800

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

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 957, 435, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 435, 800 is 1.

Therefore, GCD of numbers 957, 435, 800 is 1

Given Input Data is 957, 435, 800

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

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(957, 435) = 4785

GCD(957, 435) = ( 957 x 435 ) / 4785

GCD(957, 435) = 416295 / 4785

GCD(957, 435) = 87

Step2:

Here we consider the GCD from the above i.e. 87 as first number and the next as 800

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

LCM(87, 800) = 69600

GCD(87, 800) = ( 87 x 800 ) / 69600

GCD(87, 800) = 69600 / 69600

GCD(87, 800) = 1

GCD of 957, 435, 800 is 1

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1. What is the GCD of 957, 435, 800?

GCD of 957, 435, 800 is 1

2. Where do I get the detailed procedure to find GCD of 957, 435, 800?

You can find a detailed procedure to find GCD of 957, 435, 800 on our page.

3. How to find GCD of 957, 435, 800 on a calculator?

You can find the GCD of 957, 435, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.