GCD of 704, 309, 500, 718 Calculator

Given Input numbers are 704, 309, 500, 718

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

GCD of numbers is the greatest common divisor

So, the GCD (704, 309, 500, 718) = 1.

Given numbers are 704, 309, 500, 718

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 309 are 3 x 103

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

Prime factors of 718 are 2 x 359

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

Given numbers are 704, 309, 500, 718

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

Apply this formula for all numbers.

Step1:

LCM(704, 309) = 217536

GCD(704, 309) = ( 704 x 309 ) / 217536

= 704 / 309

= 704

Step2:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

Step3:

LCM(1, 718) = 718

GCD(1, 718) = ( 1 x 718 ) / 718

= 1 / 718

= 1

So, Greatest Common Divisor of 704, 309, 500, 718 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 458, 444, 699, 661
• GCD of 851, 360, 164, 794
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• GCD of 958, 844, 624, 460

Given numbers are 704, 309, 500, 718
The greatest common divisor of numbers 704, 309, 500, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 309, 500, 718 is 1.

1. What is the GCD of 704, 309, 500, 718?

GCD of given numbers 704, 309, 500, 718 is 1

2. How to calculate the greatest common divisor of 704, 309, 500, 718?

We can find the highest common divisor of 704, 309, 500, 718 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 704, 309, 500, 718 i.e 1.

3. How can I use the GCD of 704, 309, 500, 718Calculator?

Out the numbers 704, 309, 500, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.