GCD of 510, 537, 738, 102 Calculator

Given Input numbers are 510, 537, 738, 102

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (510, 537, 738, 102) = 3.

Given numbers are 510, 537, 738, 102

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 537 are 3 x 179

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 510, 537, 738, 102 is 3.

Given numbers are 510, 537, 738, 102

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

Apply this formula for all numbers.

Step1:

LCM(510, 537) = 91290

GCD(510, 537) = ( 510 x 537 ) / 91290

= 510 / 537

= 510

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 510, 537, 738, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 568, 840, 403
• GCD of 275, 459, 607, 193
• GCD of 131, 724, 980, 413
• GCD of 616, 615, 722, 599
• GCD of 229, 189, 195, 165

Given numbers are 510, 537, 738, 102
The greatest common divisor of numbers 510, 537, 738, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 537, 738, 102 is 3.

1. What is the GCD of 510, 537, 738, 102?

GCD of given numbers 510, 537, 738, 102 is 3

2. How to calculate the greatest common divisor of 510, 537, 738, 102?

We can find the highest common divisor of 510, 537, 738, 102 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 510, 537, 738, 102 i.e 3.

3. How can I use the GCD of 510, 537, 738, 102Calculator?

Out the numbers 510, 537, 738, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.