GCD of 362, 280, 994, 216 Calculator

Given Input numbers are 362, 280, 994, 216

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (362, 280, 994, 216) = 2.

Given numbers are 362, 280, 994, 216

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 994 are 2 x 7 x 71

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 362, 280, 994, 216 is 2.

Given numbers are 362, 280, 994, 216

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

Apply this formula for all numbers.

Step1:

LCM(362, 280) = 50680

GCD(362, 280) = ( 362 x 280 ) / 50680

= 362 / 280

= 362

Step2:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 362, 280, 994, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 989, 254, 414
• GCD of 956, 278, 669, 476
• GCD of 877, 208, 840, 868
• GCD of 118, 887, 715, 185
• GCD of 614, 808, 665, 931

Given numbers are 362, 280, 994, 216
The greatest common divisor of numbers 362, 280, 994, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 280, 994, 216 is 2.

1. What is the GCD of 362, 280, 994, 216?

GCD of given numbers 362, 280, 994, 216 is 2

2. How to calculate the greatest common divisor of 362, 280, 994, 216?

We can find the highest common divisor of 362, 280, 994, 216 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 362, 280, 994, 216 i.e 2.

3. How can I use the GCD of 362, 280, 994, 216Calculator?

Out the numbers 362, 280, 994, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.