GCD of 916, 510, 58, 648 Calculator

Given Input numbers are 916, 510, 58, 648

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

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 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (916, 510, 58, 648) = 2.

Given numbers are 916, 510, 58, 648

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

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

Prime factors of 58 are 2 x 29

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 916, 510, 58, 648 is 2.

Given numbers are 916, 510, 58, 648

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

Apply this formula for all numbers.

Step1:

LCM(916, 510) = 233580

GCD(916, 510) = ( 916 x 510 ) / 233580

= 916 / 510

= 916

Step2:

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

= 2 / 58

= 2

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 916, 510, 58, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 846, 70, 389
• GCD of 253, 507, 84, 856
• GCD of 307, 855, 91, 430
• GCD of 747, 121, 33, 337
• GCD of 911, 449, 14, 575

Given numbers are 916, 510, 58, 648
The greatest common divisor of numbers 916, 510, 58, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 510, 58, 648 is 2.

1. What is the GCD of 916, 510, 58, 648?

GCD of given numbers 916, 510, 58, 648 is 2

2. How to calculate the greatest common divisor of 916, 510, 58, 648?

We can find the highest common divisor of 916, 510, 58, 648 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 916, 510, 58, 648 i.e 2.

3. How can I use the GCD of 916, 510, 58, 648Calculator?

Out the numbers 916, 510, 58, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.