GCD of 280, 360, 449, 355 Calculator

Given Input numbers are 280, 360, 449, 355

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (280, 360, 449, 355) = 1.

Given numbers are 280, 360, 449, 355

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Prime factors of 449 are 449

Prime factors of 355 are 5 x 71

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

Given numbers are 280, 360, 449, 355

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

Apply this formula for all numbers.

Step1:

LCM(280, 360) = 2520

GCD(280, 360) = ( 280 x 360 ) / 2520

= 280 / 360

= 280

Step2:

LCM(40, 449) = 17960

GCD(40, 449) = ( 40 x 449 ) / 17960

= 40 / 449

= 40

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 280, 360, 449, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 859, 385, 112
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• GCD of 692, 144, 130, 605
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• GCD of 238, 693, 934, 842

Given numbers are 280, 360, 449, 355
The greatest common divisor of numbers 280, 360, 449, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 360, 449, 355 is 1.

1. What is the GCD of 280, 360, 449, 355?

GCD of given numbers 280, 360, 449, 355 is 1

2. How to calculate the greatest common divisor of 280, 360, 449, 355?

We can find the highest common divisor of 280, 360, 449, 355 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 280, 360, 449, 355 i.e 1.

3. How can I use the GCD of 280, 360, 449, 355Calculator?

Out the numbers 280, 360, 449, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.