GCD of 360, 272, 262, 286 Calculator

Given Input numbers are 360, 272, 262, 286

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 286 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 272, 262, 286) = 2.

Given numbers are 360, 272, 262, 286

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 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 262 are 2 x 131

Prime factors of 286 are 2 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 360, 272, 262, 286 is 2.

Given numbers are 360, 272, 262, 286

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

Apply this formula for all numbers.

Step1:

LCM(360, 272) = 12240

GCD(360, 272) = ( 360 x 272 ) / 12240

= 360 / 272

= 360

Step2:

LCM(8, 262) = 1048

GCD(8, 262) = ( 8 x 262 ) / 1048

= 8 / 262

= 8

Step3:

LCM(2, 286) = 286

GCD(2, 286) = ( 2 x 286 ) / 286

= 2 / 286

= 2

So, Greatest Common Divisor of 360, 272, 262, 286 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 940, 224, 437
• GCD of 698, 469, 597, 230
• GCD of 593, 654, 725, 140
• GCD of 416, 394, 627, 543
• GCD of 286, 658, 430, 619

Given numbers are 360, 272, 262, 286
The greatest common divisor of numbers 360, 272, 262, 286 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 272, 262, 286 is 2.

1. What is the GCD of 360, 272, 262, 286?

GCD of given numbers 360, 272, 262, 286 is 2

2. How to calculate the greatest common divisor of 360, 272, 262, 286?

We can find the highest common divisor of 360, 272, 262, 286 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, 272, 262, 286 i.e 2.

3. How can I use the GCD of 360, 272, 262, 286Calculator?

Out the numbers 360, 272, 262, 286 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.