GCD of 360, 165, 749, 496 Calculator

Given Input numbers are 360, 165, 749, 496

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

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (360, 165, 749, 496) = 1.

Given numbers are 360, 165, 749, 496

The list of prime factors of all numbers are

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

Prime factors of 165 are 3 x 5 x 11

Prime factors of 749 are 7 x 107

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Given numbers are 360, 165, 749, 496

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

Apply this formula for all numbers.

Step1:

LCM(360, 165) = 3960

GCD(360, 165) = ( 360 x 165 ) / 3960

= 360 / 165

= 360

Step2:

LCM(15, 749) = 11235

GCD(15, 749) = ( 15 x 749 ) / 11235

= 15 / 749

= 15

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 360, 165, 749, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 190, 638, 650
• GCD of 336, 324, 868, 721
• GCD of 220, 890, 852, 336
• GCD of 149, 339, 389, 782
• GCD of 656, 998, 897, 179

Given numbers are 360, 165, 749, 496
The greatest common divisor of numbers 360, 165, 749, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 165, 749, 496 is 1.

1. What is the GCD of 360, 165, 749, 496?

GCD of given numbers 360, 165, 749, 496 is 1

2. How to calculate the greatest common divisor of 360, 165, 749, 496?

We can find the highest common divisor of 360, 165, 749, 496 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 360, 165, 749, 496 i.e 1.

3. How can I use the GCD of 360, 165, 749, 496Calculator?

Out the numbers 360, 165, 749, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.