GCD of 700, 195, 562, 709 Calculator

Given Input numbers are 700, 195, 562, 709

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 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 700, 195, 562, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 195, 562, 709 is 1.

Therefore, GCD of numbers 700, 195, 562, 709 is 1

Given Input Data is 700, 195, 562, 709

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 195 is 3 x 5 x 13

Prime Factorization of 562 is 2 x 281

Prime Factorization of 709 is 709

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, 195) = 27300

GCD(700, 195) = ( 700 x 195 ) / 27300

GCD(700, 195) = 136500 / 27300

GCD(700, 195) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 562

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

LCM(5, 562) = 2810

GCD(5, 562) = ( 5 x 562 ) / 2810

GCD(5, 562) = 2810 / 2810

GCD(5, 562) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 700, 195, 562, 709 is 1

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1. What is the GCD of 700, 195, 562, 709?

GCD of 700, 195, 562, 709 is 1

2. Where do I get the detailed procedure to find GCD of 700, 195, 562, 709?

You can find a detailed procedure to find GCD of 700, 195, 562, 709 on our page.

3. How to find GCD of 700, 195, 562, 709 on a calculator?

You can find the GCD of 700, 195, 562, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.