GCD of 861, 834, 147, 688 Calculator

Given Input numbers are 861, 834, 147, 688

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 834

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

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

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 861, 834, 147, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 834, 147, 688 is 1.

Therefore, GCD of numbers 861, 834, 147, 688 is 1

Given Input Data is 861, 834, 147, 688

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(861, 834) = 239358

GCD(861, 834) = ( 861 x 834 ) / 239358

GCD(861, 834) = 718074 / 239358

GCD(861, 834) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 147

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

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

GCD(3, 147) = 441 / 147

GCD(3, 147) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 688

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

LCM(3, 688) = 2064

GCD(3, 688) = ( 3 x 688 ) / 2064

GCD(3, 688) = 2064 / 2064

GCD(3, 688) = 1

GCD of 861, 834, 147, 688 is 1

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1. What is the GCD of 861, 834, 147, 688?

GCD of 861, 834, 147, 688 is 1

2. Where do I get the detailed procedure to find GCD of 861, 834, 147, 688?

You can find a detailed procedure to find GCD of 861, 834, 147, 688 on our page.

3. How to find GCD of 861, 834, 147, 688 on a calculator?

You can find the GCD of 861, 834, 147, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.