GCD of 360, 292, 506, 221 Calculator

Given Input numbers are 360, 292, 506, 221

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 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (360, 292, 506, 221) = 1.

Given numbers are 360, 292, 506, 221

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 292 are 2 x 2 x 73

Prime factors of 506 are 2 x 11 x 23

Prime factors of 221 are 13 x 17

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

Given numbers are 360, 292, 506, 221

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

Apply this formula for all numbers.

Step1:

LCM(360, 292) = 26280

GCD(360, 292) = ( 360 x 292 ) / 26280

= 360 / 292

= 360

Step2:

LCM(4, 506) = 1012

GCD(4, 506) = ( 4 x 506 ) / 1012

= 4 / 506

= 4

Step3:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2

So, Greatest Common Divisor of 360, 292, 506, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 412, 938, 120
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Given numbers are 360, 292, 506, 221
The greatest common divisor of numbers 360, 292, 506, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 292, 506, 221 is 1.

1. What is the GCD of 360, 292, 506, 221?

GCD of given numbers 360, 292, 506, 221 is 1

2. How to calculate the greatest common divisor of 360, 292, 506, 221?

We can find the highest common divisor of 360, 292, 506, 221 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, 292, 506, 221 i.e 1.

3. How can I use the GCD of 360, 292, 506, 221Calculator?

Out the numbers 360, 292, 506, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.