GCD of 716, 384, 600, 212 Calculator

Given Input numbers are 716, 384, 600, 212

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (716, 384, 600, 212) = 4.

Given numbers are 716, 384, 600, 212

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 212 are 2 x 2 x 53

The highest common occurrence is 2²

Therefore, GCD of 716, 384, 600, 212 is 4.

Given numbers are 716, 384, 600, 212

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

Apply this formula for all numbers.

Step1:

LCM(716, 384) = 68736

GCD(716, 384) = ( 716 x 384 ) / 68736

= 716 / 384

= 716

Step2:

LCM(4, 600) = 600

GCD(4, 600) = ( 4 x 600 ) / 600

= 4 / 600

= 4

Step3:

LCM(4, 212) = 212

GCD(4, 212) = ( 4 x 212 ) / 212

= 4 / 212

= 4

So, Greatest Common Divisor of 716, 384, 600, 212 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 534, 201, 768
• GCD of 187, 978, 162, 103
• GCD of 568, 852, 713, 369
• GCD of 652, 772, 524, 944
• GCD of 226, 689, 970, 760

Given numbers are 716, 384, 600, 212
The greatest common divisor of numbers 716, 384, 600, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 384, 600, 212 is 4.

1. What is the GCD of 716, 384, 600, 212?

GCD of given numbers 716, 384, 600, 212 is 4

2. How to calculate the greatest common divisor of 716, 384, 600, 212?

We can find the highest common divisor of 716, 384, 600, 212 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 716, 384, 600, 212 i.e 4.

3. How can I use the GCD of 716, 384, 600, 212Calculator?

Out the numbers 716, 384, 600, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.