GCD of 726, 360, 544, 646 Calculator

Given Input numbers are 726, 360, 544, 646

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (726, 360, 544, 646) = 2.

Given numbers are 726, 360, 544, 646

The list of prime factors of all numbers are

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 2¹

Therefore, GCD of 726, 360, 544, 646 is 2.

Given numbers are 726, 360, 544, 646

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

Apply this formula for all numbers.

Step1:

LCM(726, 360) = 43560

GCD(726, 360) = ( 726 x 360 ) / 43560

= 726 / 360

= 726

Step2:

LCM(6, 544) = 1632

GCD(6, 544) = ( 6 x 544 ) / 1632

= 6 / 544

= 6

Step3:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

So, Greatest Common Divisor of 726, 360, 544, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 279, 107, 730
• GCD of 384, 969, 394, 262
• GCD of 923, 497, 400, 381
• GCD of 228, 572, 815, 626
• GCD of 866, 845, 620, 978

Given numbers are 726, 360, 544, 646
The greatest common divisor of numbers 726, 360, 544, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 360, 544, 646 is 2.

1. What is the GCD of 726, 360, 544, 646?

GCD of given numbers 726, 360, 544, 646 is 2

2. How to calculate the greatest common divisor of 726, 360, 544, 646?

We can find the highest common divisor of 726, 360, 544, 646 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, 360, 544, 646 i.e 2.

3. How can I use the GCD of 726, 360, 544, 646Calculator?

Out the numbers 726, 360, 544, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.