GCD of 494, 521, 546, 360 Calculator

Given Input numbers are 494, 521, 546, 360

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

GCD of numbers is the greatest common divisor

So, the GCD (494, 521, 546, 360) = 1.

Given numbers are 494, 521, 546, 360

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 521 are 521

Prime factors of 546 are 2 x 3 x 7 x 13

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

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

Given numbers are 494, 521, 546, 360

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

Apply this formula for all numbers.

Step1:

LCM(494, 521) = 257374

GCD(494, 521) = ( 494 x 521 ) / 257374

= 494 / 521

= 494

Step2:

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

= 1 / 546

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 494, 521, 546, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 399, 914, 877
• GCD of 202, 146, 469, 526
• GCD of 301, 143, 311, 550
• GCD of 292, 668, 168, 105
• GCD of 347, 649, 637, 342

Given numbers are 494, 521, 546, 360
The greatest common divisor of numbers 494, 521, 546, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 521, 546, 360 is 1.

1. What is the GCD of 494, 521, 546, 360?

GCD of given numbers 494, 521, 546, 360 is 1

2. How to calculate the greatest common divisor of 494, 521, 546, 360?

We can find the highest common divisor of 494, 521, 546, 360 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 494, 521, 546, 360 i.e 1.

3. How can I use the GCD of 494, 521, 546, 360Calculator?

Out the numbers 494, 521, 546, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.