GCD of 804, 712, 756, 920 Calculator

Given Input numbers are 804, 712, 756, 920

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

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 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (804, 712, 756, 920) = 4.

Given numbers are 804, 712, 756, 920

The list of prime factors of all numbers are

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

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 2²

Therefore, GCD of 804, 712, 756, 920 is 4.

Given numbers are 804, 712, 756, 920

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

Apply this formula for all numbers.

Step1:

LCM(804, 712) = 143112

GCD(804, 712) = ( 804 x 712 ) / 143112

= 804 / 712

= 804

Step2:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4

Step3:

LCM(4, 920) = 920

GCD(4, 920) = ( 4 x 920 ) / 920

= 4 / 920

= 4

So, Greatest Common Divisor of 804, 712, 756, 920 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 411, 406, 995
• GCD of 165, 384, 218, 831
• GCD of 266, 948, 799, 582
• GCD of 661, 479, 177, 820
• GCD of 551, 949, 187, 219

Given numbers are 804, 712, 756, 920
The greatest common divisor of numbers 804, 712, 756, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 712, 756, 920 is 4.

1. What is the GCD of 804, 712, 756, 920?

GCD of given numbers 804, 712, 756, 920 is 4

2. How to calculate the greatest common divisor of 804, 712, 756, 920?

We can find the highest common divisor of 804, 712, 756, 920 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 804, 712, 756, 920 i.e 4.

3. How can I use the GCD of 804, 712, 756, 920Calculator?

Out the numbers 804, 712, 756, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.