GCD of 520, 600, 716, 284 Calculator

Given Input numbers are 520, 600, 716, 284

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 716 :

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

1, 2, 4, 179, 358, 716

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (520, 600, 716, 284) = 4.

Given numbers are 520, 600, 716, 284

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

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

Prime factors of 716 are 2 x 2 x 179

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2²

Therefore, GCD of 520, 600, 716, 284 is 4.

Given numbers are 520, 600, 716, 284

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

Apply this formula for all numbers.

Step1:

LCM(520, 600) = 7800

GCD(520, 600) = ( 520 x 600 ) / 7800

= 520 / 600

= 520

Step2:

LCM(40, 716) = 7160

GCD(40, 716) = ( 40 x 716 ) / 7160

= 40 / 716

= 40

Step3:

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

= 4 / 284

= 4

So, Greatest Common Divisor of 520, 600, 716, 284 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 694, 294, 804
• GCD of 663, 199, 816, 244
• GCD of 806, 993, 159, 264
• GCD of 996, 896, 780, 435
• GCD of 718, 673, 236, 870

Given numbers are 520, 600, 716, 284
The greatest common divisor of numbers 520, 600, 716, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 600, 716, 284 is 4.

1. What is the GCD of 520, 600, 716, 284?

GCD of given numbers 520, 600, 716, 284 is 4

2. How to calculate the greatest common divisor of 520, 600, 716, 284?

We can find the highest common divisor of 520, 600, 716, 284 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 520, 600, 716, 284 i.e 4.

3. How can I use the GCD of 520, 600, 716, 284Calculator?

Out the numbers 520, 600, 716, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.