GCD of 975, 724, 834 Calculator

Given Input numbers are 975, 724, 834

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 975, 724, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 724, 834 is 1.

Therefore, GCD of numbers 975, 724, 834 is 1

Given Input Data is 975, 724, 834

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 834 is 2 x 3 x 139

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(975, 724) = 705900

GCD(975, 724) = ( 975 x 724 ) / 705900

GCD(975, 724) = 705900 / 705900

GCD(975, 724) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 975, 724, 834 is 1

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1. What is the GCD of 975, 724, 834?

GCD of 975, 724, 834 is 1

2. Where do I get the detailed procedure to find GCD of 975, 724, 834?

You can find a detailed procedure to find GCD of 975, 724, 834 on our page.

3. How to find GCD of 975, 724, 834 on a calculator?

You can find the GCD of 975, 724, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.