GCD of 390, 876, 612, 657 Calculator

Given Input numbers are 390, 876, 612, 657

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 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (390, 876, 612, 657) = 3.

Given numbers are 390, 876, 612, 657

The list of prime factors of all numbers are

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

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 657 are 3 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 390, 876, 612, 657 is 3.

Given numbers are 390, 876, 612, 657

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

Apply this formula for all numbers.

Step1:

LCM(390, 876) = 56940

GCD(390, 876) = ( 390 x 876 ) / 56940

= 390 / 876

= 390

Step2:

LCM(6, 612) = 612

GCD(6, 612) = ( 6 x 612 ) / 612

= 6 / 612

= 6

Step3:

LCM(6, 657) = 1314

GCD(6, 657) = ( 6 x 657 ) / 1314

= 6 / 657

= 6

So, Greatest Common Divisor of 390, 876, 612, 657 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 692, 748, 387
• GCD of 567, 886, 616, 158
• GCD of 331, 415, 578, 537
• GCD of 261, 814, 616, 323
• GCD of 365, 276, 889, 526

Given numbers are 390, 876, 612, 657
The greatest common divisor of numbers 390, 876, 612, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 876, 612, 657 is 3.

1. What is the GCD of 390, 876, 612, 657?

GCD of given numbers 390, 876, 612, 657 is 3

2. How to calculate the greatest common divisor of 390, 876, 612, 657?

We can find the highest common divisor of 390, 876, 612, 657 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, 876, 612, 657 i.e 3.

3. How can I use the GCD of 390, 876, 612, 657Calculator?

Out the numbers 390, 876, 612, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.