GCD of 800, 658, 747, 320 Calculator

Given Input numbers are 800, 658, 747, 320

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 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 800, 658, 747, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 658, 747, 320 is 1.

Therefore, GCD of numbers 800, 658, 747, 320 is 1

Given Input Data is 800, 658, 747, 320

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 658 is 2 x 7 x 47

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 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(800, 658) = 263200

GCD(800, 658) = ( 800 x 658 ) / 263200

GCD(800, 658) = 526400 / 263200

GCD(800, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 800, 658, 747, 320 is 1

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• GCD of 862, 915, 347, 612
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1. What is the GCD of 800, 658, 747, 320?

GCD of 800, 658, 747, 320 is 1

2. Where do I get the detailed procedure to find GCD of 800, 658, 747, 320?

You can find a detailed procedure to find GCD of 800, 658, 747, 320 on our page.

3. How to find GCD of 800, 658, 747, 320 on a calculator?

You can find the GCD of 800, 658, 747, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.