GCD of 705, 148, 928, 804 Calculator

Given Input numbers are 705, 148, 928, 804

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

Divisors of 705

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

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

Greatest Common Divisior

We found the divisors of 705, 148, 928, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 148, 928, 804 is 1.

Therefore, GCD of numbers 705, 148, 928, 804 is 1

Given Input Data is 705, 148, 928, 804

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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

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(705, 148) = 104340

GCD(705, 148) = ( 705 x 148 ) / 104340

GCD(705, 148) = 104340 / 104340

GCD(705, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 705, 148, 928, 804 is 1

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1. What is the GCD of 705, 148, 928, 804?

GCD of 705, 148, 928, 804 is 1

2. Where do I get the detailed procedure to find GCD of 705, 148, 928, 804?

You can find a detailed procedure to find GCD of 705, 148, 928, 804 on our page.

3. How to find GCD of 705, 148, 928, 804 on a calculator?

You can find the GCD of 705, 148, 928, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.