GCD of 360, 200, 314, 859 Calculator

Given Input numbers are 360, 200, 314, 859

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

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 859 :

The positive integer divisors of 859 that completely divides 859 are.

1, 859

GCD of numbers is the greatest common divisor

So, the GCD (360, 200, 314, 859) = 1.

Given numbers are 360, 200, 314, 859

The list of prime factors of all numbers are

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 314 are 2 x 157

Prime factors of 859 are 859

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

Given numbers are 360, 200, 314, 859

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

Apply this formula for all numbers.

Step1:

LCM(360, 200) = 1800

GCD(360, 200) = ( 360 x 200 ) / 1800

= 360 / 200

= 360

Step2:

LCM(40, 314) = 6280

GCD(40, 314) = ( 40 x 314 ) / 6280

= 40 / 314

= 40

Step3:

LCM(2, 859) = 1718

GCD(2, 859) = ( 2 x 859 ) / 1718

= 2 / 859

= 2

So, Greatest Common Divisor of 360, 200, 314, 859 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 844, 929, 232
• GCD of 621, 653, 907, 840
• GCD of 732, 105, 165, 691
• GCD of 942, 125, 461, 688
• GCD of 761, 894, 500, 725

Given numbers are 360, 200, 314, 859
The greatest common divisor of numbers 360, 200, 314, 859 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 200, 314, 859 is 1.

1. What is the GCD of 360, 200, 314, 859?

GCD of given numbers 360, 200, 314, 859 is 1

2. How to calculate the greatest common divisor of 360, 200, 314, 859?

We can find the highest common divisor of 360, 200, 314, 859 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 360, 200, 314, 859 i.e 1.

3. How can I use the GCD of 360, 200, 314, 859Calculator?

Out the numbers 360, 200, 314, 859 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.