GCD of 126, 513, 612, 717 Calculator

Given Input numbers are 126, 513, 612, 717

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 513 :

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

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

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 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (126, 513, 612, 717) = 3.

Given numbers are 126, 513, 612, 717

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

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

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

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 126, 513, 612, 717 is 3.

Given numbers are 126, 513, 612, 717

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

Apply this formula for all numbers.

Step1:

LCM(126, 513) = 7182

GCD(126, 513) = ( 126 x 513 ) / 7182

= 126 / 513

= 126

Step2:

LCM(9, 612) = 612

GCD(9, 612) = ( 9 x 612 ) / 612

= 9 / 612

= 9

Step3:

LCM(9, 717) = 2151

GCD(9, 717) = ( 9 x 717 ) / 2151

= 9 / 717

= 9

So, Greatest Common Divisor of 126, 513, 612, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 811, 682, 807
• GCD of 344, 883, 939, 316
• GCD of 672, 153, 364, 188
• GCD of 195, 742, 256, 879
• GCD of 921, 861, 599, 645

Given numbers are 126, 513, 612, 717
The greatest common divisor of numbers 126, 513, 612, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 513, 612, 717 is 3.

1. What is the GCD of 126, 513, 612, 717?

GCD of given numbers 126, 513, 612, 717 is 3

2. How to calculate the greatest common divisor of 126, 513, 612, 717?

We can find the highest common divisor of 126, 513, 612, 717 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 126, 513, 612, 717 i.e 3.

3. How can I use the GCD of 126, 513, 612, 717Calculator?

Out the numbers 126, 513, 612, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.