GCD of 726, 225, 847, 440 Calculator

Given Input numbers are 726, 225, 847, 440

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 847 :

The positive integer divisors of 847 that completely divides 847 are.

1, 7, 11, 77, 121, 847

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (726, 225, 847, 440) = 1.

Given numbers are 726, 225, 847, 440

The list of prime factors of all numbers are

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 847 are 7 x 11 x 11

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 726, 225, 847, 440

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

Apply this formula for all numbers.

Step1:

LCM(726, 225) = 54450

GCD(726, 225) = ( 726 x 225 ) / 54450

= 726 / 225

= 726

Step2:

LCM(3, 847) = 2541

GCD(3, 847) = ( 3 x 847 ) / 2541

= 3 / 847

= 3

Step3:

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

= 1 / 440

= 1

So, Greatest Common Divisor of 726, 225, 847, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 293, 635, 842
• GCD of 674, 984, 948, 473
• GCD of 756, 397, 321, 540
• GCD of 798, 367, 521, 245
• GCD of 195, 318, 117, 485

Given numbers are 726, 225, 847, 440
The greatest common divisor of numbers 726, 225, 847, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 225, 847, 440 is 1.

1. What is the GCD of 726, 225, 847, 440?

GCD of given numbers 726, 225, 847, 440 is 1

2. How to calculate the greatest common divisor of 726, 225, 847, 440?

We can find the highest common divisor of 726, 225, 847, 440 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, 225, 847, 440 i.e 1.

3. How can I use the GCD of 726, 225, 847, 440Calculator?

Out the numbers 726, 225, 847, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.