GCD of 104, 500, 470, 705 Calculator

Given Input numbers are 104, 500, 470, 705

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (104, 500, 470, 705) = 1.

Given numbers are 104, 500, 470, 705

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

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

Prime factors of 470 are 2 x 5 x 47

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 104, 500, 470, 705

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

Apply this formula for all numbers.

Step1:

LCM(104, 500) = 13000

GCD(104, 500) = ( 104 x 500 ) / 13000

= 104 / 500

= 104

Step2:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4

Step3:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

So, Greatest Common Divisor of 104, 500, 470, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 936, 132, 689
• GCD of 584, 268, 959, 204
• GCD of 329, 834, 179, 997
• GCD of 222, 695, 525, 111
• GCD of 353, 423, 343, 553

Given numbers are 104, 500, 470, 705
The greatest common divisor of numbers 104, 500, 470, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 500, 470, 705 is 1.

1. What is the GCD of 104, 500, 470, 705?

GCD of given numbers 104, 500, 470, 705 is 1

2. How to calculate the greatest common divisor of 104, 500, 470, 705?

We can find the highest common divisor of 104, 500, 470, 705 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 104, 500, 470, 705 i.e 1.

3. How can I use the GCD of 104, 500, 470, 705Calculator?

Out the numbers 104, 500, 470, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.