GCD of 617, 870, 49, 849 Calculator

Given Input numbers are 617, 870, 49, 849

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 617, 870, 49, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 870, 49, 849 is 1.

Therefore, GCD of numbers 617, 870, 49, 849 is 1

Given Input Data is 617, 870, 49, 849

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

Prime Factorization of 617 is 617

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 49 is 7 x 7

Prime Factorization of 849 is 3 x 283

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(617, 870) = 536790

GCD(617, 870) = ( 617 x 870 ) / 536790

GCD(617, 870) = 536790 / 536790

GCD(617, 870) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 617, 870, 49, 849 is 1

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1. What is the GCD of 617, 870, 49, 849?

GCD of 617, 870, 49, 849 is 1

2. Where do I get the detailed procedure to find GCD of 617, 870, 49, 849?

You can find a detailed procedure to find GCD of 617, 870, 49, 849 on our page.

3. How to find GCD of 617, 870, 49, 849 on a calculator?

You can find the GCD of 617, 870, 49, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.