GCD of 52, 706, 100, 104 Calculator

Given Input numbers are 52, 706, 100, 104

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 52, 706, 100, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 706, 100, 104 is 2.

Therefore, GCD of numbers 52, 706, 100, 104 is 2

Given Input Data is 52, 706, 100, 104

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 706 is 2 x 353

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 104 is 2 x 2 x 2 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(52, 706) = 18356

GCD(52, 706) = ( 52 x 706 ) / 18356

GCD(52, 706) = 36712 / 18356

GCD(52, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

GCD of 52, 706, 100, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 644, 100, 764
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• GCD of 70, 516, 852, 434
• GCD of 91, 687, 583, 669
• GCD of 48, 543, 132, 474

1. What is the GCD of 52, 706, 100, 104?

GCD of 52, 706, 100, 104 is 2

2. Where do I get the detailed procedure to find GCD of 52, 706, 100, 104?

You can find a detailed procedure to find GCD of 52, 706, 100, 104 on our page.

3. How to find GCD of 52, 706, 100, 104 on a calculator?

You can find the GCD of 52, 706, 100, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.