GCD of 500, 414, 77, 304 Calculator

Given Input numbers are 500, 414, 77, 304

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

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (500, 414, 77, 304) = 1.

Given numbers are 500, 414, 77, 304

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 77 are 7 x 11

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Given numbers are 500, 414, 77, 304

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

Apply this formula for all numbers.

Step1:

LCM(500, 414) = 103500

GCD(500, 414) = ( 500 x 414 ) / 103500

= 500 / 414

= 500

Step2:

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

= 2 / 77

= 2

Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1

So, Greatest Common Divisor of 500, 414, 77, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 377, 56, 653
• GCD of 669, 226, 83, 168
• GCD of 652, 131, 78, 738
• GCD of 782, 869, 55, 974
• GCD of 420, 257, 40, 110

Given numbers are 500, 414, 77, 304
The greatest common divisor of numbers 500, 414, 77, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 414, 77, 304 is 1.

1. What is the GCD of 500, 414, 77, 304?

GCD of given numbers 500, 414, 77, 304 is 1

2. How to calculate the greatest common divisor of 500, 414, 77, 304?

We can find the highest common divisor of 500, 414, 77, 304 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 500, 414, 77, 304 i.e 1.

3. How can I use the GCD of 500, 414, 77, 304Calculator?

Out the numbers 500, 414, 77, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.