GCD of 916, 752, 300 Calculator

Given Input numbers are 916, 752, 300

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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

GCD of numbers is the greatest common divisor

So, the GCD (916, 752, 300) = 4.

Given numbers are 916, 752, 300

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

The highest common occurrence is 2²

Therefore, GCD of 916, 752, 300 is 4.

Given numbers are 916, 752, 300

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

Apply this formula for all numbers.

Step1:

LCM(916, 752) = 172208

GCD(916, 752) = ( 916 x 752 ) / 172208

= 916 / 752

= 916

Step2:

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

= 4 / 300

= 4

So, Greatest Common Divisor of 916, 752, 300 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 748, 860
• GCD of 121, 627, 533
• GCD of 124, 115, 694
• GCD of 410, 276, 210
• GCD of 962, 875, 697

Given numbers are 916, 752, 300
The greatest common divisor of numbers 916, 752, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 752, 300 is 4.

1. What is the GCD of 916, 752, 300?

GCD of given numbers 916, 752, 300 is 4

2. How to calculate the greatest common divisor of 916, 752, 300?

We can find the highest common divisor of 916, 752, 300 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, 752, 300 i.e 4.

3. How can I use the GCD of 916, 752, 300Calculator?

Out the numbers 916, 752, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.