GCD of 494, 588, 874, 216 Calculator

Given Input numbers are 494, 588, 874, 216

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

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 (494, 588, 874, 216) = 2.

Given numbers are 494, 588, 874, 216

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 874 are 2 x 19 x 23

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 494, 588, 874, 216 is 2.

Given numbers are 494, 588, 874, 216

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

Apply this formula for all numbers.

Step1:

LCM(494, 588) = 145236

GCD(494, 588) = ( 494 x 588 ) / 145236

= 494 / 588

= 494

Step2:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

Step3:

LCM(2, 216) = 216

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

= 2 / 216

= 2

So, Greatest Common Divisor of 494, 588, 874, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 188, 856, 894
• GCD of 948, 355, 277, 679
• GCD of 931, 677, 928, 214
• GCD of 495, 180, 277, 817
• GCD of 559, 627, 708, 974

Given numbers are 494, 588, 874, 216
The greatest common divisor of numbers 494, 588, 874, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 588, 874, 216 is 2.

1. What is the GCD of 494, 588, 874, 216?

GCD of given numbers 494, 588, 874, 216 is 2

2. How to calculate the greatest common divisor of 494, 588, 874, 216?

We can find the highest common divisor of 494, 588, 874, 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 494, 588, 874, 216 i.e 2.

3. How can I use the GCD of 494, 588, 874, 216Calculator?

Out the numbers 494, 588, 874, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.