GCD of 505, 105, 839, 700 Calculator

Given Input numbers are 505, 105, 839, 700

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

Divisors of 505

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

1, 5, 101, 505

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 505, 105, 839, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 105, 839, 700 is 1.

Therefore, GCD of numbers 505, 105, 839, 700 is 1

Given Input Data is 505, 105, 839, 700

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 839 is 839

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(505, 105) = 10605

GCD(505, 105) = ( 505 x 105 ) / 10605

GCD(505, 105) = 53025 / 10605

GCD(505, 105) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 839

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

LCM(5, 839) = 4195

GCD(5, 839) = ( 5 x 839 ) / 4195

GCD(5, 839) = 4195 / 4195

GCD(5, 839) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 505, 105, 839, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 703, 371, 170
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• GCD of 391, 460, 185, 800

1. What is the GCD of 505, 105, 839, 700?

GCD of 505, 105, 839, 700 is 1

2. Where do I get the detailed procedure to find GCD of 505, 105, 839, 700?

You can find a detailed procedure to find GCD of 505, 105, 839, 700 on our page.

3. How to find GCD of 505, 105, 839, 700 on a calculator?

You can find the GCD of 505, 105, 839, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.