GCD of 516, 300, 670, 884 Calculator

Given Input numbers are 516, 300, 670, 884

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

GCD of numbers is the greatest common divisor

So, the GCD (516, 300, 670, 884) = 2.

Given numbers are 516, 300, 670, 884

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 670 are 2 x 5 x 67

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 516, 300, 670, 884 is 2.

Given numbers are 516, 300, 670, 884

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

Apply this formula for all numbers.

Step1:

LCM(516, 300) = 12900

GCD(516, 300) = ( 516 x 300 ) / 12900

= 516 / 300

= 516

Step2:

LCM(12, 670) = 4020

GCD(12, 670) = ( 12 x 670 ) / 4020

= 12 / 670

= 12

Step3:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2

So, Greatest Common Divisor of 516, 300, 670, 884 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 256, 913, 945, 940
• GCD of 323, 868, 803, 798
• GCD of 611, 190, 842, 723
• GCD of 674, 554, 981, 672
• GCD of 239, 791, 398, 598

Given numbers are 516, 300, 670, 884
The greatest common divisor of numbers 516, 300, 670, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 300, 670, 884 is 2.

1. What is the GCD of 516, 300, 670, 884?

GCD of given numbers 516, 300, 670, 884 is 2

2. How to calculate the greatest common divisor of 516, 300, 670, 884?

We can find the highest common divisor of 516, 300, 670, 884 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 516, 300, 670, 884 i.e 2.

3. How can I use the GCD of 516, 300, 670, 884Calculator?

Out the numbers 516, 300, 670, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.