GCD of 584, 300, 764, 112 Calculator

Given Input numbers are 584, 300, 764, 112

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (584, 300, 764, 112) = 4.

Given numbers are 584, 300, 764, 112

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2²

Therefore, GCD of 584, 300, 764, 112 is 4.

Given numbers are 584, 300, 764, 112

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

Apply this formula for all numbers.

Step1:

LCM(584, 300) = 43800

GCD(584, 300) = ( 584 x 300 ) / 43800

= 584 / 300

= 584

Step2:

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

= 4 / 764

= 4

Step3:

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

= 4 / 112

= 4

So, Greatest Common Divisor of 584, 300, 764, 112 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 721, 112, 850
• GCD of 191, 666, 873, 463
• GCD of 373, 671, 608, 598
• GCD of 617, 373, 604, 436
• GCD of 565, 327, 860, 443

Given numbers are 584, 300, 764, 112
The greatest common divisor of numbers 584, 300, 764, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 300, 764, 112 is 4.

1. What is the GCD of 584, 300, 764, 112?

GCD of given numbers 584, 300, 764, 112 is 4

2. How to calculate the greatest common divisor of 584, 300, 764, 112?

We can find the highest common divisor of 584, 300, 764, 112 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 584, 300, 764, 112 i.e 4.

3. How can I use the GCD of 584, 300, 764, 112Calculator?

Out the numbers 584, 300, 764, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.