GCD of 768, 802, 500, 794 Calculator

Given Input numbers are 768, 802, 500, 794

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

GCD of numbers is the greatest common divisor

So, the GCD (768, 802, 500, 794) = 2.

Given numbers are 768, 802, 500, 794

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 802 are 2 x 401

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 794 are 2 x 397

The highest common occurrence is 2¹

Therefore, GCD of 768, 802, 500, 794 is 2.

Given numbers are 768, 802, 500, 794

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

Apply this formula for all numbers.

Step1:

LCM(768, 802) = 307968

GCD(768, 802) = ( 768 x 802 ) / 307968

= 768 / 802

= 768

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

Step3:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2

So, Greatest Common Divisor of 768, 802, 500, 794 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 314, 993, 643
• GCD of 415, 487, 618, 910
• GCD of 588, 418, 888, 290
• GCD of 373, 983, 219, 359
• GCD of 811, 431, 978, 198

Given numbers are 768, 802, 500, 794
The greatest common divisor of numbers 768, 802, 500, 794 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 802, 500, 794 is 2.

1. What is the GCD of 768, 802, 500, 794?

GCD of given numbers 768, 802, 500, 794 is 2

2. How to calculate the greatest common divisor of 768, 802, 500, 794?

We can find the highest common divisor of 768, 802, 500, 794 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 768, 802, 500, 794 i.e 2.

3. How can I use the GCD of 768, 802, 500, 794Calculator?

Out the numbers 768, 802, 500, 794 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.