GCD of 787, 420, 447, 360 Calculator

Given Input numbers are 787, 420, 447, 360

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

Divisors of 787 :

The positive integer divisors of 787 that completely divides 787 are.

1, 787

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 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (787, 420, 447, 360) = 1.

Given numbers are 787, 420, 447, 360

The list of prime factors of all numbers are

Prime factors of 787 are 787

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

Prime factors of 447 are 3 x 149

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 787, 420, 447, 360

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

Apply this formula for all numbers.

Step1:

LCM(787, 420) = 330540

GCD(787, 420) = ( 787 x 420 ) / 330540

= 787 / 420

= 787

Step2:

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

= 1 / 447

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 787, 420, 447, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 889, 573, 960
• GCD of 957, 898, 781, 459
• GCD of 998, 573, 922, 272
• GCD of 738, 509, 970, 224
• GCD of 583, 530, 406, 987

Given numbers are 787, 420, 447, 360
The greatest common divisor of numbers 787, 420, 447, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 787, 420, 447, 360 is 1.

1. What is the GCD of 787, 420, 447, 360?

GCD of given numbers 787, 420, 447, 360 is 1

2. How to calculate the greatest common divisor of 787, 420, 447, 360?

We can find the highest common divisor of 787, 420, 447, 360 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 787, 420, 447, 360 i.e 1.

3. How can I use the GCD of 787, 420, 447, 360Calculator?

Out the numbers 787, 420, 447, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.