GCD of 424, 654, 360, 549 Calculator

Given Input numbers are 424, 654, 360, 549

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

GCD of numbers is the greatest common divisor

So, the GCD (424, 654, 360, 549) = 1.

Given numbers are 424, 654, 360, 549

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 654 are 2 x 3 x 109

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

Prime factors of 549 are 3 x 3 x 61

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

Given numbers are 424, 654, 360, 549

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

Apply this formula for all numbers.

Step1:

LCM(424, 654) = 138648

GCD(424, 654) = ( 424 x 654 ) / 138648

= 424 / 654

= 424

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 549) = 1098

GCD(2, 549) = ( 2 x 549 ) / 1098

= 2 / 549

= 2

So, Greatest Common Divisor of 424, 654, 360, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 206, 464, 705
• GCD of 814, 940, 391, 949
• GCD of 944, 313, 952, 583
• GCD of 854, 192, 127, 739
• GCD of 981, 394, 678, 917

Given numbers are 424, 654, 360, 549
The greatest common divisor of numbers 424, 654, 360, 549 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 654, 360, 549 is 1.

1. What is the GCD of 424, 654, 360, 549?

GCD of given numbers 424, 654, 360, 549 is 1

2. How to calculate the greatest common divisor of 424, 654, 360, 549?

We can find the highest common divisor of 424, 654, 360, 549 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 424, 654, 360, 549 i.e 1.

3. How can I use the GCD of 424, 654, 360, 549Calculator?

Out the numbers 424, 654, 360, 549 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.