GCD of 684, 224, 46, 990 Calculator

Given Input numbers are 684, 224, 46, 990

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

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 46 :

The positive integer divisors of 46 that completely divides 46 are.

1, 2, 23, 46

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (684, 224, 46, 990) = 2.

Given numbers are 684, 224, 46, 990

The list of prime factors of all numbers are

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 46 are 2 x 23

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 684, 224, 46, 990 is 2.

Given numbers are 684, 224, 46, 990

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

Apply this formula for all numbers.

Step1:

LCM(684, 224) = 38304

GCD(684, 224) = ( 684 x 224 ) / 38304

= 684 / 224

= 684

Step2:

LCM(4, 46) = 92

GCD(4, 46) = ( 4 x 46 ) / 92

= 4 / 46

= 4

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 684, 224, 46, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 619, 12, 889
• GCD of 432, 415, 65, 827
• GCD of 134, 338, 20, 553
• GCD of 425, 144, 10, 412
• GCD of 796, 614, 55, 744

Given numbers are 684, 224, 46, 990
The greatest common divisor of numbers 684, 224, 46, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 224, 46, 990 is 2.

1. What is the GCD of 684, 224, 46, 990?

GCD of given numbers 684, 224, 46, 990 is 2

2. How to calculate the greatest common divisor of 684, 224, 46, 990?

We can find the highest common divisor of 684, 224, 46, 990 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 684, 224, 46, 990 i.e 2.

3. How can I use the GCD of 684, 224, 46, 990Calculator?

Out the numbers 684, 224, 46, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.