GCD of 494, 360, 684, 252 Calculator

Given Input numbers are 494, 360, 684, 252

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 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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (494, 360, 684, 252) = 2.

Given numbers are 494, 360, 684, 252

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 494, 360, 684, 252 is 2.

Given numbers are 494, 360, 684, 252

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

Apply this formula for all numbers.

Step1:

LCM(494, 360) = 88920

GCD(494, 360) = ( 494 x 360 ) / 88920

= 494 / 360

= 494

Step2:

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

= 2 / 684

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 494, 360, 684, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 519, 533, 560
• GCD of 900, 860, 917, 572
• GCD of 206, 716, 498, 245
• GCD of 296, 857, 600, 721
• GCD of 101, 452, 757, 178

Given numbers are 494, 360, 684, 252
The greatest common divisor of numbers 494, 360, 684, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 360, 684, 252 is 2.

1. What is the GCD of 494, 360, 684, 252?

GCD of given numbers 494, 360, 684, 252 is 2

2. How to calculate the greatest common divisor of 494, 360, 684, 252?

We can find the highest common divisor of 494, 360, 684, 252 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, 360, 684, 252 i.e 2.

3. How can I use the GCD of 494, 360, 684, 252Calculator?

Out the numbers 494, 360, 684, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.