GCD of 384, 620, 848, 516 Calculator

Given Input numbers are 384, 620, 848, 516

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

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

GCD of numbers is the greatest common divisor

So, the GCD (384, 620, 848, 516) = 4.

Given numbers are 384, 620, 848, 516

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

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

The highest common occurrence is 2²

Therefore, GCD of 384, 620, 848, 516 is 4.

Given numbers are 384, 620, 848, 516

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

Apply this formula for all numbers.

Step1:

LCM(384, 620) = 59520

GCD(384, 620) = ( 384 x 620 ) / 59520

= 384 / 620

= 384

Step2:

LCM(4, 848) = 848

GCD(4, 848) = ( 4 x 848 ) / 848

= 4 / 848

= 4

Step3:

LCM(4, 516) = 516

GCD(4, 516) = ( 4 x 516 ) / 516

= 4 / 516

= 4

So, Greatest Common Divisor of 384, 620, 848, 516 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 803, 208, 761
• GCD of 812, 368, 293, 268
• GCD of 441, 305, 242, 257
• GCD of 395, 618, 162, 247
• GCD of 626, 106, 251, 201

Given numbers are 384, 620, 848, 516
The greatest common divisor of numbers 384, 620, 848, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 620, 848, 516 is 4.

1. What is the GCD of 384, 620, 848, 516?

GCD of given numbers 384, 620, 848, 516 is 4

2. How to calculate the greatest common divisor of 384, 620, 848, 516?

We can find the highest common divisor of 384, 620, 848, 516 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 384, 620, 848, 516 i.e 4.

3. How can I use the GCD of 384, 620, 848, 516Calculator?

Out the numbers 384, 620, 848, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.