GCD of 116, 690, 56, 508 Calculator

Given Input numbers are 116, 690, 56, 508

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 116, 690, 56, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 690, 56, 508 is 2.

Therefore, GCD of numbers 116, 690, 56, 508 is 2

Given Input Data is 116, 690, 56, 508

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 508 is 2 x 2 x 127

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(116, 690) = 40020

GCD(116, 690) = ( 116 x 690 ) / 40020

GCD(116, 690) = 80040 / 40020

GCD(116, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 116, 690, 56, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 223, 64, 698
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• GCD of 336, 689, 19, 212
• GCD of 129, 540, 78, 691
• GCD of 864, 421, 29, 164

1. What is the GCD of 116, 690, 56, 508?

GCD of 116, 690, 56, 508 is 2

2. Where do I get the detailed procedure to find GCD of 116, 690, 56, 508?

You can find a detailed procedure to find GCD of 116, 690, 56, 508 on our page.

3. How to find GCD of 116, 690, 56, 508 on a calculator?

You can find the GCD of 116, 690, 56, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.