GCD of 804, 350, 625, 305 Calculator

Given Input numbers are 804, 350, 625, 305

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 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 804, 350, 625, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 350, 625, 305 is 1.

Therefore, GCD of numbers 804, 350, 625, 305 is 1

Given Input Data is 804, 350, 625, 305

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 350 is 2 x 5 x 5 x 7

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 305 is 5 x 61

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, 350) = 140700

GCD(804, 350) = ( 804 x 350 ) / 140700

GCD(804, 350) = 281400 / 140700

GCD(804, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 625

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

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

GCD(2, 625) = 1250 / 1250

GCD(2, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 804, 350, 625, 305 is 1

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• GCD of 690, 308, 588, 179
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1. What is the GCD of 804, 350, 625, 305?

GCD of 804, 350, 625, 305 is 1

2. Where do I get the detailed procedure to find GCD of 804, 350, 625, 305?

You can find a detailed procedure to find GCD of 804, 350, 625, 305 on our page.

3. How to find GCD of 804, 350, 625, 305 on a calculator?

You can find the GCD of 804, 350, 625, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.