GCD of 804, 735, 238, 700 Calculator

Given Input numbers are 804, 735, 238, 700

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

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 804, 735, 238, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 735, 238, 700 is 1.

Therefore, GCD of numbers 804, 735, 238, 700 is 1

Given Input Data is 804, 735, 238, 700

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

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 238 is 2 x 7 x 17

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(804, 735) = 196980

GCD(804, 735) = ( 804 x 735 ) / 196980

GCD(804, 735) = 590940 / 196980

GCD(804, 735) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 238

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

LCM(3, 238) = 714

GCD(3, 238) = ( 3 x 238 ) / 714

GCD(3, 238) = 714 / 714

GCD(3, 238) = 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 804, 735, 238, 700 is 1

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1. What is the GCD of 804, 735, 238, 700?

GCD of 804, 735, 238, 700 is 1

2. Where do I get the detailed procedure to find GCD of 804, 735, 238, 700?

You can find a detailed procedure to find GCD of 804, 735, 238, 700 on our page.

3. How to find GCD of 804, 735, 238, 700 on a calculator?

You can find the GCD of 804, 735, 238, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.