GCD of 360, 399, 149, 726 Calculator

Given Input numbers are 360, 399, 149, 726

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 399, 149, 726) = 1.

Given numbers are 360, 399, 149, 726

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 399 are 3 x 7 x 19

Prime factors of 149 are 149

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

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

Given numbers are 360, 399, 149, 726

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

Apply this formula for all numbers.

Step1:

LCM(360, 399) = 47880

GCD(360, 399) = ( 360 x 399 ) / 47880

= 360 / 399

= 360

Step2:

LCM(3, 149) = 447

GCD(3, 149) = ( 3 x 149 ) / 447

= 3 / 149

= 3

Step3:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

So, Greatest Common Divisor of 360, 399, 149, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 377, 397, 672
• GCD of 481, 125, 409, 449
• GCD of 821, 721, 593, 810
• GCD of 260, 430, 924, 184
• GCD of 987, 628, 755, 414

Given numbers are 360, 399, 149, 726
The greatest common divisor of numbers 360, 399, 149, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 399, 149, 726 is 1.

1. What is the GCD of 360, 399, 149, 726?

GCD of given numbers 360, 399, 149, 726 is 1

2. How to calculate the greatest common divisor of 360, 399, 149, 726?

We can find the highest common divisor of 360, 399, 149, 726 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, 399, 149, 726 i.e 1.

3. How can I use the GCD of 360, 399, 149, 726Calculator?

Out the numbers 360, 399, 149, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.