GCD of 136, 840, 449, 711 Calculator

Given Input numbers are 136, 840, 449, 711

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

Divisors of 136

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

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 136, 840, 449, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 840, 449, 711 is 1.

Therefore, GCD of numbers 136, 840, 449, 711 is 1

Given Input Data is 136, 840, 449, 711

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

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 449 is 449

Prime Factorization of 711 is 3 x 3 x 79

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(136, 840) = 14280

GCD(136, 840) = ( 136 x 840 ) / 14280

GCD(136, 840) = 114240 / 14280

GCD(136, 840) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 449

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

LCM(8, 449) = 3592

GCD(8, 449) = ( 8 x 449 ) / 3592

GCD(8, 449) = 3592 / 3592

GCD(8, 449) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 136, 840, 449, 711 is 1

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1. What is the GCD of 136, 840, 449, 711?

GCD of 136, 840, 449, 711 is 1

2. Where do I get the detailed procedure to find GCD of 136, 840, 449, 711?

You can find a detailed procedure to find GCD of 136, 840, 449, 711 on our page.

3. How to find GCD of 136, 840, 449, 711 on a calculator?

You can find the GCD of 136, 840, 449, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.