GCD of 216, 474, 160, 698 Calculator

Given Input numbers are 216, 474, 160, 698

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

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (216, 474, 160, 698) = 2.

Given numbers are 216, 474, 160, 698

The list of prime factors of all numbers are

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

Prime factors of 474 are 2 x 3 x 79

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 216, 474, 160, 698 is 2.

Given numbers are 216, 474, 160, 698

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

Apply this formula for all numbers.

Step1:

LCM(216, 474) = 17064

GCD(216, 474) = ( 216 x 474 ) / 17064

= 216 / 474

= 216

Step2:

LCM(6, 160) = 480

GCD(6, 160) = ( 6 x 160 ) / 480

= 6 / 160

= 6

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 216, 474, 160, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 277, 888, 304
• GCD of 776, 482, 611, 357
• GCD of 212, 207, 732, 555
• GCD of 433, 652, 795, 610
• GCD of 646, 170, 886, 989

Given numbers are 216, 474, 160, 698
The greatest common divisor of numbers 216, 474, 160, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 474, 160, 698 is 2.

1. What is the GCD of 216, 474, 160, 698?

GCD of given numbers 216, 474, 160, 698 is 2

2. How to calculate the greatest common divisor of 216, 474, 160, 698?

We can find the highest common divisor of 216, 474, 160, 698 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 216, 474, 160, 698 i.e 2.

3. How can I use the GCD of 216, 474, 160, 698Calculator?

Out the numbers 216, 474, 160, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.