GCD of 390, 684, 852, 988 Calculator

Given Input numbers are 390, 684, 852, 988

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (390, 684, 852, 988) = 2.

Given numbers are 390, 684, 852, 988

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

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

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 390, 684, 852, 988 is 2.

Given numbers are 390, 684, 852, 988

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

Apply this formula for all numbers.

Step1:

LCM(390, 684) = 44460

GCD(390, 684) = ( 390 x 684 ) / 44460

= 390 / 684

= 390

Step2:

LCM(6, 852) = 852

GCD(6, 852) = ( 6 x 852 ) / 852

= 6 / 852

= 6

Step3:

LCM(6, 988) = 2964

GCD(6, 988) = ( 6 x 988 ) / 2964

= 6 / 988

= 6

So, Greatest Common Divisor of 390, 684, 852, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 532, 716, 804
• GCD of 552, 606, 863, 750
• GCD of 623, 457, 664, 834
• GCD of 709, 236, 752, 626
• GCD of 893, 742, 364, 363

Given numbers are 390, 684, 852, 988
The greatest common divisor of numbers 390, 684, 852, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 684, 852, 988 is 2.

1. What is the GCD of 390, 684, 852, 988?

GCD of given numbers 390, 684, 852, 988 is 2

2. How to calculate the greatest common divisor of 390, 684, 852, 988?

We can find the highest common divisor of 390, 684, 852, 988 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 390, 684, 852, 988 i.e 2.

3. How can I use the GCD of 390, 684, 852, 988Calculator?

Out the numbers 390, 684, 852, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.