GCD of 69, 828, 147, 997 Calculator

Given Input numbers are 69, 828, 147, 997

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 69, 828, 147, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 828, 147, 997 is 1.

Therefore, GCD of numbers 69, 828, 147, 997 is 1

Given Input Data is 69, 828, 147, 997

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 997 is 997

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(69, 828) = 828

GCD(69, 828) = ( 69 x 828 ) / 828

GCD(69, 828) = 57132 / 828

GCD(69, 828) = 69

Step2:

Here we consider the GCD from the above i.e. 69 as first number and the next as 147

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

LCM(69, 147) = 3381

GCD(69, 147) = ( 69 x 147 ) / 3381

GCD(69, 147) = 10143 / 3381

GCD(69, 147) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 997

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

LCM(3, 997) = 2991

GCD(3, 997) = ( 3 x 997 ) / 2991

GCD(3, 997) = 2991 / 2991

GCD(3, 997) = 1

GCD of 69, 828, 147, 997 is 1

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1. What is the GCD of 69, 828, 147, 997?

GCD of 69, 828, 147, 997 is 1

2. Where do I get the detailed procedure to find GCD of 69, 828, 147, 997?

You can find a detailed procedure to find GCD of 69, 828, 147, 997 on our page.

3. How to find GCD of 69, 828, 147, 997 on a calculator?

You can find the GCD of 69, 828, 147, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.