GCD of 895, 864, 398, 360 Calculator

Given Input numbers are 895, 864, 398, 360

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

Divisors of 895 :

The positive integer divisors of 895 that completely divides 895 are.

1, 5, 179, 895

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

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 (895, 864, 398, 360) = 1.

Given numbers are 895, 864, 398, 360

The list of prime factors of all numbers are

Prime factors of 895 are 5 x 179

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 398 are 2 x 199

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 895, 864, 398, 360

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

Apply this formula for all numbers.

Step1:

LCM(895, 864) = 773280

GCD(895, 864) = ( 895 x 864 ) / 773280

= 895 / 864

= 895

Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

Step3:

LCM(1, 360) = 360

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

= 1 / 360

= 1

So, Greatest Common Divisor of 895, 864, 398, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 164, 254, 573
• GCD of 576, 977, 773, 821
• GCD of 419, 541, 981, 719
• GCD of 380, 552, 252, 229
• GCD of 294, 532, 749, 186

Given numbers are 895, 864, 398, 360
The greatest common divisor of numbers 895, 864, 398, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 895, 864, 398, 360 is 1.

1. What is the GCD of 895, 864, 398, 360?

GCD of given numbers 895, 864, 398, 360 is 1

2. How to calculate the greatest common divisor of 895, 864, 398, 360?

We can find the highest common divisor of 895, 864, 398, 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 895, 864, 398, 360 i.e 1.

3. How can I use the GCD of 895, 864, 398, 360Calculator?

Out the numbers 895, 864, 398, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.