GCD of 800, 753, 263, 705 Calculator

Given Input numbers are 800, 753, 263, 705

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

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 800, 753, 263, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 753, 263, 705 is 1.

Therefore, GCD of numbers 800, 753, 263, 705 is 1

Given Input Data is 800, 753, 263, 705

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

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 263 is 263

Prime Factorization of 705 is 3 x 5 x 47

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(800, 753) = 602400

GCD(800, 753) = ( 800 x 753 ) / 602400

GCD(800, 753) = 602400 / 602400

GCD(800, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 800, 753, 263, 705 is 1

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• GCD of 963, 652, 580, 534
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• GCD of 843, 427, 464, 898

1. What is the GCD of 800, 753, 263, 705?

GCD of 800, 753, 263, 705 is 1

2. Where do I get the detailed procedure to find GCD of 800, 753, 263, 705?

You can find a detailed procedure to find GCD of 800, 753, 263, 705 on our page.

3. How to find GCD of 800, 753, 263, 705 on a calculator?

You can find the GCD of 800, 753, 263, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.