GCD of 829, 267, 745, 972 Calculator

Given Input numbers are 829, 267, 745, 972

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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

Greatest Common Divisior

We found the divisors of 829, 267, 745, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 267, 745, 972 is 1.

Therefore, GCD of numbers 829, 267, 745, 972 is 1

Given Input Data is 829, 267, 745, 972

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

Prime Factorization of 829 is 829

Prime Factorization of 267 is 3 x 89

Prime Factorization of 745 is 5 x 149

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

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(829, 267) = 221343

GCD(829, 267) = ( 829 x 267 ) / 221343

GCD(829, 267) = 221343 / 221343

GCD(829, 267) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 829, 267, 745, 972 is 1

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1. What is the GCD of 829, 267, 745, 972?

GCD of 829, 267, 745, 972 is 1

2. Where do I get the detailed procedure to find GCD of 829, 267, 745, 972?

You can find a detailed procedure to find GCD of 829, 267, 745, 972 on our page.

3. How to find GCD of 829, 267, 745, 972 on a calculator?

You can find the GCD of 829, 267, 745, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.