GCD of 717, 104, 38, 420 Calculator

Given Input numbers are 717, 104, 38, 420

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

Divisors of 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

Divisors of 104 :

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

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

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (717, 104, 38, 420) = 1.

Given numbers are 717, 104, 38, 420

The list of prime factors of all numbers are

Prime factors of 717 are 3 x 239

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

Prime factors of 38 are 2 x 19

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 717, 104, 38, 420

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

Apply this formula for all numbers.

Step1:

LCM(717, 104) = 74568

GCD(717, 104) = ( 717 x 104 ) / 74568

= 717 / 104

= 717

Step2:

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

= 1 / 38

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 717, 104, 38, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 608, 99, 316
• GCD of 485, 840, 19, 290
• GCD of 837, 284, 16, 619
• GCD of 347, 991, 68, 575
• GCD of 704, 761, 28, 720

Given numbers are 717, 104, 38, 420
The greatest common divisor of numbers 717, 104, 38, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 717, 104, 38, 420 is 1.

1. What is the GCD of 717, 104, 38, 420?

GCD of given numbers 717, 104, 38, 420 is 1

2. How to calculate the greatest common divisor of 717, 104, 38, 420?

We can find the highest common divisor of 717, 104, 38, 420 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 717, 104, 38, 420 i.e 1.

3. How can I use the GCD of 717, 104, 38, 420Calculator?

Out the numbers 717, 104, 38, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.