GCD of 748, 804, 352, 425 Calculator

Given Input numbers are 748, 804, 352, 425

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 748, 804, 352, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 804, 352, 425 is 1.

Therefore, GCD of numbers 748, 804, 352, 425 is 1

Given Input Data is 748, 804, 352, 425

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 425 is 5 x 5 x 17

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(748, 804) = 150348

GCD(748, 804) = ( 748 x 804 ) / 150348

GCD(748, 804) = 601392 / 150348

GCD(748, 804) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 352

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

LCM(4, 352) = 352

GCD(4, 352) = ( 4 x 352 ) / 352

GCD(4, 352) = 1408 / 352

GCD(4, 352) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 425

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

LCM(4, 425) = 1700

GCD(4, 425) = ( 4 x 425 ) / 1700

GCD(4, 425) = 1700 / 1700

GCD(4, 425) = 1

GCD of 748, 804, 352, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 358, 396, 330
• GCD of 165, 127, 312, 957
• GCD of 331, 442, 163, 770
• GCD of 853, 560, 739, 508
• GCD of 955, 603, 177, 428

1. What is the GCD of 748, 804, 352, 425?

GCD of 748, 804, 352, 425 is 1

2. Where do I get the detailed procedure to find GCD of 748, 804, 352, 425?

You can find a detailed procedure to find GCD of 748, 804, 352, 425 on our page.

3. How to find GCD of 748, 804, 352, 425 on a calculator?

You can find the GCD of 748, 804, 352, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.