GCD of 832, 972, 335, 286 Calculator

Given Input numbers are 832, 972, 335, 286

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 832, 972, 335, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 972, 335, 286 is 1.

Therefore, GCD of numbers 832, 972, 335, 286 is 1

Given Input Data is 832, 972, 335, 286

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 335 is 5 x 67

Prime Factorization of 286 is 2 x 11 x 13

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(832, 972) = 202176

GCD(832, 972) = ( 832 x 972 ) / 202176

GCD(832, 972) = 808704 / 202176

GCD(832, 972) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 335

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

LCM(4, 335) = 1340

GCD(4, 335) = ( 4 x 335 ) / 1340

GCD(4, 335) = 1340 / 1340

GCD(4, 335) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 832, 972, 335, 286 is 1

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1. What is the GCD of 832, 972, 335, 286?

GCD of 832, 972, 335, 286 is 1

2. Where do I get the detailed procedure to find GCD of 832, 972, 335, 286?

You can find a detailed procedure to find GCD of 832, 972, 335, 286 on our page.

3. How to find GCD of 832, 972, 335, 286 on a calculator?

You can find the GCD of 832, 972, 335, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.