GCD of 10, 686, 505, 136 Calculator

Given Input numbers are 10, 686, 505, 136

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 10, 686, 505, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 686, 505, 136 is 1.

Therefore, GCD of numbers 10, 686, 505, 136 is 1

Given Input Data is 10, 686, 505, 136

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 505 is 5 x 101

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(10, 686) = 3430

GCD(10, 686) = ( 10 x 686 ) / 3430

GCD(10, 686) = 6860 / 3430

GCD(10, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 10, 686, 505, 136 is 1

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• GCD of 96, 507, 224, 190
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1. What is the GCD of 10, 686, 505, 136?

GCD of 10, 686, 505, 136 is 1

2. Where do I get the detailed procedure to find GCD of 10, 686, 505, 136?

You can find a detailed procedure to find GCD of 10, 686, 505, 136 on our page.

3. How to find GCD of 10, 686, 505, 136 on a calculator?

You can find the GCD of 10, 686, 505, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.