GCD of 700, 405, 54, 705 Calculator

Given Input numbers are 700, 405, 54, 705

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 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 700, 405, 54, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 405, 54, 705 is 1.

Therefore, GCD of numbers 700, 405, 54, 705 is 1

Given Input Data is 700, 405, 54, 705

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 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 705 is 3 x 5 x 47

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, 405) = 56700

GCD(700, 405) = ( 700 x 405 ) / 56700

GCD(700, 405) = 283500 / 56700

GCD(700, 405) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 54

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

LCM(5, 54) = 270

GCD(5, 54) = ( 5 x 54 ) / 270

GCD(5, 54) = 270 / 270

GCD(5, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 700, 405, 54, 705 is 1

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1. What is the GCD of 700, 405, 54, 705?

GCD of 700, 405, 54, 705 is 1

2. Where do I get the detailed procedure to find GCD of 700, 405, 54, 705?

You can find a detailed procedure to find GCD of 700, 405, 54, 705 on our page.

3. How to find GCD of 700, 405, 54, 705 on a calculator?

You can find the GCD of 700, 405, 54, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.