GCD of 513, 657, 912, 612 Calculator

Given Input numbers are 513, 657, 912, 612

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 657 :

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

1, 3, 9, 73, 219, 657

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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

GCD of numbers is the greatest common divisor

So, the GCD (513, 657, 912, 612) = 3.

Given numbers are 513, 657, 912, 612

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 657 are 3 x 3 x 73

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 513, 657, 912, 612 is 3.

Given numbers are 513, 657, 912, 612

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

Apply this formula for all numbers.

Step1:

LCM(513, 657) = 37449

GCD(513, 657) = ( 513 x 657 ) / 37449

= 513 / 657

= 513

Step2:

LCM(9, 912) = 2736

GCD(9, 912) = ( 9 x 912 ) / 2736

= 9 / 912

= 9

Step3:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

So, Greatest Common Divisor of 513, 657, 912, 612 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 795, 623, 628
• GCD of 371, 921, 970, 645
• GCD of 817, 949, 159, 456
• GCD of 967, 846, 893, 783
• GCD of 685, 488, 200, 789

Given numbers are 513, 657, 912, 612
The greatest common divisor of numbers 513, 657, 912, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 657, 912, 612 is 3.

1. What is the GCD of 513, 657, 912, 612?

GCD of given numbers 513, 657, 912, 612 is 3

2. How to calculate the greatest common divisor of 513, 657, 912, 612?

We can find the highest common divisor of 513, 657, 912, 612 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 513, 657, 912, 612 i.e 3.

3. How can I use the GCD of 513, 657, 912, 612Calculator?

Out the numbers 513, 657, 912, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.