GCD of 354, 480, 798, 216 Calculator

Given Input numbers are 354, 480, 798, 216

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 (354, 480, 798, 216) = 6.

Given numbers are 354, 480, 798, 216

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 798 are 2 x 3 x 7 x 19

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 354, 480, 798, 216 is 6.

Given numbers are 354, 480, 798, 216

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

Apply this formula for all numbers.

Step1:

LCM(354, 480) = 28320

GCD(354, 480) = ( 354 x 480 ) / 28320

= 354 / 480

= 354

Step2:

LCM(6, 798) = 798

GCD(6, 798) = ( 6 x 798 ) / 798

= 6 / 798

= 6

Step3:

LCM(6, 216) = 216

GCD(6, 216) = ( 6 x 216 ) / 216

= 6 / 216

= 6

So, Greatest Common Divisor of 354, 480, 798, 216 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 192, 804, 989
• GCD of 349, 956, 942, 978
• GCD of 417, 874, 826, 531
• GCD of 401, 730, 490, 253
• GCD of 370, 666, 956, 407

Given numbers are 354, 480, 798, 216
The greatest common divisor of numbers 354, 480, 798, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 480, 798, 216 is 6.

1. What is the GCD of 354, 480, 798, 216?

GCD of given numbers 354, 480, 798, 216 is 6

2. How to calculate the greatest common divisor of 354, 480, 798, 216?

We can find the highest common divisor of 354, 480, 798, 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 354, 480, 798, 216 i.e 6.

3. How can I use the GCD of 354, 480, 798, 216Calculator?

Out the numbers 354, 480, 798, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.