GCD of 432, 714, 420, 917 Calculator

Given Input numbers are 432, 714, 420, 917

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (432, 714, 420, 917) = 1.

Given numbers are 432, 714, 420, 917

The list of prime factors of all numbers are

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 714 are 2 x 3 x 7 x 17

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

Prime factors of 917 are 7 x 131

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

Given numbers are 432, 714, 420, 917

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

Apply this formula for all numbers.

Step1:

LCM(432, 714) = 51408

GCD(432, 714) = ( 432 x 714 ) / 51408

= 432 / 714

= 432

Step2:

LCM(6, 420) = 420

GCD(6, 420) = ( 6 x 420 ) / 420

= 6 / 420

= 6

Step3:

LCM(6, 917) = 5502

GCD(6, 917) = ( 6 x 917 ) / 5502

= 6 / 917

= 6

So, Greatest Common Divisor of 432, 714, 420, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 416, 589, 697
• GCD of 387, 822, 860, 664
• GCD of 303, 184, 834, 579
• GCD of 811, 967, 185, 261
• GCD of 844, 868, 901, 717

Given numbers are 432, 714, 420, 917
The greatest common divisor of numbers 432, 714, 420, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 714, 420, 917 is 1.

1. What is the GCD of 432, 714, 420, 917?

GCD of given numbers 432, 714, 420, 917 is 1

2. How to calculate the greatest common divisor of 432, 714, 420, 917?

We can find the highest common divisor of 432, 714, 420, 917 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 432, 714, 420, 917 i.e 1.

3. How can I use the GCD of 432, 714, 420, 917Calculator?

Out the numbers 432, 714, 420, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.