GCD of 748, 804, 24, 345 Calculator

Given Input numbers are 748, 804, 24, 345

In the factoring method, we have to find the divisors of all numbers

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

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

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (748, 804, 24, 345) = 1.

Given numbers are 748, 804, 24, 345

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 345 are 3 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 748, 804, 24, 345

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(748, 804) = 150348

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

= 748 / 804

= 748

Step2:

LCM(4, 24) = 24

GCD(4, 24) = ( 4 x 24 ) / 24

= 4 / 24

= 4

Step3:

LCM(4, 345) = 1380

GCD(4, 345) = ( 4 x 345 ) / 1380

= 4 / 345

= 4

So, Greatest Common Divisor of 748, 804, 24, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 995, 44, 840
• GCD of 634, 799, 63, 160
• GCD of 970, 108, 59, 280
• GCD of 390, 414, 85, 939
• GCD of 305, 805, 65, 619

Given numbers are 748, 804, 24, 345
The greatest common divisor of numbers 748, 804, 24, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 804, 24, 345 is 1.

1. What is the GCD of 748, 804, 24, 345?

GCD of given numbers 748, 804, 24, 345 is 1

2. How to calculate the greatest common divisor of 748, 804, 24, 345?

We can find the highest common divisor of 748, 804, 24, 345 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 748, 804, 24, 345 i.e 1.

3. How can I use the GCD of 748, 804, 24, 345Calculator?

Out the numbers 748, 804, 24, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.