GCD of 360, 402, 800, 190 Calculator

Given Input numbers are 360, 402, 800, 190

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

GCD of numbers is the greatest common divisor

So, the GCD (360, 402, 800, 190) = 2.

Given numbers are 360, 402, 800, 190

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 402 are 2 x 3 x 67

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 190 are 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 360, 402, 800, 190 is 2.

Given numbers are 360, 402, 800, 190

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

Apply this formula for all numbers.

Step1:

LCM(360, 402) = 24120

GCD(360, 402) = ( 360 x 402 ) / 24120

= 360 / 402

= 360

Step2:

LCM(6, 800) = 2400

GCD(6, 800) = ( 6 x 800 ) / 2400

= 6 / 800

= 6

Step3:

LCM(2, 190) = 190

GCD(2, 190) = ( 2 x 190 ) / 190

= 2 / 190

= 2

So, Greatest Common Divisor of 360, 402, 800, 190 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 129, 865, 988
• GCD of 273, 988, 508, 936
• GCD of 162, 541, 849, 977
• GCD of 121, 313, 190, 219
• GCD of 999, 638, 807, 209

Given numbers are 360, 402, 800, 190
The greatest common divisor of numbers 360, 402, 800, 190 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 402, 800, 190 is 2.

1. What is the GCD of 360, 402, 800, 190?

GCD of given numbers 360, 402, 800, 190 is 2

2. How to calculate the greatest common divisor of 360, 402, 800, 190?

We can find the highest common divisor of 360, 402, 800, 190 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, 402, 800, 190 i.e 2.

3. How can I use the GCD of 360, 402, 800, 190Calculator?

Out the numbers 360, 402, 800, 190 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.