GCD of 916, 808, 528, 588 Calculator

Given Input numbers are 916, 808, 528, 588

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 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (916, 808, 528, 588) = 4.

Given numbers are 916, 808, 528, 588

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 916, 808, 528, 588 is 4.

Given numbers are 916, 808, 528, 588

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

Apply this formula for all numbers.

Step1:

LCM(916, 808) = 185032

GCD(916, 808) = ( 916 x 808 ) / 185032

= 916 / 808

= 916

Step2:

LCM(4, 528) = 528

GCD(4, 528) = ( 4 x 528 ) / 528

= 4 / 528

= 4

Step3:

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

= 4 / 588

= 4

So, Greatest Common Divisor of 916, 808, 528, 588 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 972, 496, 385
• GCD of 811, 475, 941, 248
• GCD of 980, 700, 269, 418
• GCD of 812, 711, 641, 609
• GCD of 286, 385, 755, 787

Given numbers are 916, 808, 528, 588
The greatest common divisor of numbers 916, 808, 528, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 808, 528, 588 is 4.

1. What is the GCD of 916, 808, 528, 588?

GCD of given numbers 916, 808, 528, 588 is 4

2. How to calculate the greatest common divisor of 916, 808, 528, 588?

We can find the highest common divisor of 916, 808, 528, 588 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, 808, 528, 588 i.e 4.

3. How can I use the GCD of 916, 808, 528, 588Calculator?

Out the numbers 916, 808, 528, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.