GCD of 726, 300, 764 Calculator

Given Input numbers are 726, 300, 764

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

GCD of numbers is the greatest common divisor

So, the GCD (726, 300, 764) = 2.

Given numbers are 726, 300, 764

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

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

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 726, 300, 764 is 2.

Given numbers are 726, 300, 764

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

Apply this formula for all numbers.

Step1:

LCM(726, 300) = 36300

GCD(726, 300) = ( 726 x 300 ) / 36300

= 726 / 300

= 726

Step2:

LCM(6, 764) = 2292

GCD(6, 764) = ( 6 x 764 ) / 2292

= 6 / 764

= 6

So, Greatest Common Divisor of 726, 300, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 275, 661
• GCD of 335, 337, 947
• GCD of 914, 489, 816
• GCD of 792, 651, 234
• GCD of 917, 478, 954

Given numbers are 726, 300, 764
The greatest common divisor of numbers 726, 300, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 300, 764 is 2.

1. What is the GCD of 726, 300, 764?

GCD of given numbers 726, 300, 764 is 2

2. How to calculate the greatest common divisor of 726, 300, 764?

We can find the highest common divisor of 726, 300, 764 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 726, 300, 764 i.e 2.

3. How can I use the GCD of 726, 300, 764Calculator?

Out the numbers 726, 300, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.