GCD of 726, 460, 458, 180 Calculator

Given Input numbers are 726, 460, 458, 180

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

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

GCD of numbers is the greatest common divisor

So, the GCD (726, 460, 458, 180) = 2.

Given numbers are 726, 460, 458, 180

The list of prime factors of all numbers are

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

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 458 are 2 x 229

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

The highest common occurrence is 2¹

Therefore, GCD of 726, 460, 458, 180 is 2.

Given numbers are 726, 460, 458, 180

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

Apply this formula for all numbers.

Step1:

LCM(726, 460) = 166980

GCD(726, 460) = ( 726 x 460 ) / 166980

= 726 / 460

= 726

Step2:

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

= 2 / 458

= 2

Step3:

LCM(2, 180) = 180

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

= 2 / 180

= 2

So, Greatest Common Divisor of 726, 460, 458, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 175, 678, 528
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• GCD of 795, 559, 701, 498
• GCD of 892, 463, 649, 829
• GCD of 437, 513, 747, 344

Given numbers are 726, 460, 458, 180
The greatest common divisor of numbers 726, 460, 458, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 460, 458, 180 is 2.

1. What is the GCD of 726, 460, 458, 180?

GCD of given numbers 726, 460, 458, 180 is 2

2. How to calculate the greatest common divisor of 726, 460, 458, 180?

We can find the highest common divisor of 726, 460, 458, 180 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, 460, 458, 180 i.e 2.

3. How can I use the GCD of 726, 460, 458, 180Calculator?

Out the numbers 726, 460, 458, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.