GCD of 804, 700, 765, 152 Calculator

Given Input numbers are 804, 700, 765, 152

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 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 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 804, 700, 765, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 700, 765, 152 is 1.

Therefore, GCD of numbers 804, 700, 765, 152 is 1

Given Input Data is 804, 700, 765, 152

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 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 152 is 2 x 2 x 2 x 19

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, 700) = 140700

GCD(804, 700) = ( 804 x 700 ) / 140700

GCD(804, 700) = 562800 / 140700

GCD(804, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 765

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

LCM(4, 765) = 3060

GCD(4, 765) = ( 4 x 765 ) / 3060

GCD(4, 765) = 3060 / 3060

GCD(4, 765) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 804, 700, 765, 152 is 1

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1. What is the GCD of 804, 700, 765, 152?

GCD of 804, 700, 765, 152 is 1

2. Where do I get the detailed procedure to find GCD of 804, 700, 765, 152?

You can find a detailed procedure to find GCD of 804, 700, 765, 152 on our page.

3. How to find GCD of 804, 700, 765, 152 on a calculator?

You can find the GCD of 804, 700, 765, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.