GCD of 360, 280, 286, 302 Calculator

Given Input numbers are 360, 280, 286, 302

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 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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

GCD of numbers is the greatest common divisor

So, the GCD (360, 280, 286, 302) = 2.

Given numbers are 360, 280, 286, 302

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 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 286 are 2 x 11 x 13

Prime factors of 302 are 2 x 151

The highest common occurrence is 2¹

Therefore, GCD of 360, 280, 286, 302 is 2.

Given numbers are 360, 280, 286, 302

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

Apply this formula for all numbers.

Step1:

LCM(360, 280) = 2520

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

= 360 / 280

= 360

Step2:

LCM(40, 286) = 5720

GCD(40, 286) = ( 40 x 286 ) / 5720

= 40 / 286

= 40

Step3:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

So, Greatest Common Divisor of 360, 280, 286, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 892, 530, 510
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• GCD of 759, 985, 182, 851
• GCD of 726, 813, 517, 531
• GCD of 543, 327, 813, 321

Given numbers are 360, 280, 286, 302
The greatest common divisor of numbers 360, 280, 286, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 280, 286, 302 is 2.

1. What is the GCD of 360, 280, 286, 302?

GCD of given numbers 360, 280, 286, 302 is 2

2. How to calculate the greatest common divisor of 360, 280, 286, 302?

We can find the highest common divisor of 360, 280, 286, 302 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, 280, 286, 302 i.e 2.

3. How can I use the GCD of 360, 280, 286, 302Calculator?

Out the numbers 360, 280, 286, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.