GCD of 726, 448, 180, 506 Calculator

Given Input numbers are 726, 448, 180, 506

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (726, 448, 180, 506) = 2.

Given numbers are 726, 448, 180, 506

The list of prime factors of all numbers are

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 726, 448, 180, 506 is 2.

Given numbers are 726, 448, 180, 506

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

Apply this formula for all numbers.

Step1:

LCM(726, 448) = 162624

GCD(726, 448) = ( 726 x 448 ) / 162624

= 726 / 448

= 726

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 726, 448, 180, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 906, 684, 524
• GCD of 295, 515, 157, 915
• GCD of 186, 654, 639, 175
• GCD of 294, 210, 314, 965
• GCD of 257, 592, 521, 918

Given numbers are 726, 448, 180, 506
The greatest common divisor of numbers 726, 448, 180, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 448, 180, 506 is 2.

1. What is the GCD of 726, 448, 180, 506?

GCD of given numbers 726, 448, 180, 506 is 2

2. How to calculate the greatest common divisor of 726, 448, 180, 506?

We can find the highest common divisor of 726, 448, 180, 506 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, 448, 180, 506 i.e 2.

3. How can I use the GCD of 726, 448, 180, 506Calculator?

Out the numbers 726, 448, 180, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.