GCD of 688, 858, 33, 101 Calculator

Given Input numbers are 688, 858, 33, 101

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

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 688, 858, 33, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 858, 33, 101 is 1.

Therefore, GCD of numbers 688, 858, 33, 101 is 1

Given Input Data is 688, 858, 33, 101

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

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 33 is 3 x 11

Prime Factorization of 101 is 101

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(688, 858) = 295152

GCD(688, 858) = ( 688 x 858 ) / 295152

GCD(688, 858) = 590304 / 295152

GCD(688, 858) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 688, 858, 33, 101 is 1

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• GCD of 151, 231, 52, 727
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1. What is the GCD of 688, 858, 33, 101?

GCD of 688, 858, 33, 101 is 1

2. Where do I get the detailed procedure to find GCD of 688, 858, 33, 101?

You can find a detailed procedure to find GCD of 688, 858, 33, 101 on our page.

3. How to find GCD of 688, 858, 33, 101 on a calculator?

You can find the GCD of 688, 858, 33, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.