GCD of 700, 205, 58, 285 Calculator

Given Input numbers are 700, 205, 58, 285

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

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 700, 205, 58, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 205, 58, 285 is 1.

Therefore, GCD of numbers 700, 205, 58, 285 is 1

Given Input Data is 700, 205, 58, 285

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

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 58 is 2 x 29

Prime Factorization of 285 is 3 x 5 x 19

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(700, 205) = 28700

GCD(700, 205) = ( 700 x 205 ) / 28700

GCD(700, 205) = 143500 / 28700

GCD(700, 205) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 58

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

LCM(5, 58) = 290

GCD(5, 58) = ( 5 x 58 ) / 290

GCD(5, 58) = 290 / 290

GCD(5, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 700, 205, 58, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 401, 43, 972
• GCD of 770, 516, 52, 640
• GCD of 346, 885, 36, 330
• GCD of 335, 157, 97, 934
• GCD of 103, 802, 40, 734

1. What is the GCD of 700, 205, 58, 285?

GCD of 700, 205, 58, 285 is 1

2. Where do I get the detailed procedure to find GCD of 700, 205, 58, 285?

You can find a detailed procedure to find GCD of 700, 205, 58, 285 on our page.

3. How to find GCD of 700, 205, 58, 285 on a calculator?

You can find the GCD of 700, 205, 58, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.