GCD of 360, 460, 716, 310 Calculator

Given Input numbers are 360, 460, 716, 310

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (360, 460, 716, 310) = 2.

Given numbers are 360, 460, 716, 310

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 460 are 2 x 2 x 5 x 23

Prime factors of 716 are 2 x 2 x 179

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 360, 460, 716, 310 is 2.

Given numbers are 360, 460, 716, 310

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

Apply this formula for all numbers.

Step1:

LCM(360, 460) = 8280

GCD(360, 460) = ( 360 x 460 ) / 8280

= 360 / 460

= 360

Step2:

LCM(20, 716) = 3580

GCD(20, 716) = ( 20 x 716 ) / 3580

= 20 / 716

= 20

Step3:

LCM(4, 310) = 620

GCD(4, 310) = ( 4 x 310 ) / 620

= 4 / 310

= 4

So, Greatest Common Divisor of 360, 460, 716, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 631, 160, 611
• GCD of 378, 736, 197, 699
• GCD of 469, 233, 484, 105
• GCD of 347, 346, 564, 198
• GCD of 812, 415, 197, 266

Given numbers are 360, 460, 716, 310
The greatest common divisor of numbers 360, 460, 716, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 460, 716, 310 is 2.

1. What is the GCD of 360, 460, 716, 310?

GCD of given numbers 360, 460, 716, 310 is 2

2. How to calculate the greatest common divisor of 360, 460, 716, 310?

We can find the highest common divisor of 360, 460, 716, 310 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, 460, 716, 310 i.e 2.

3. How can I use the GCD of 360, 460, 716, 310Calculator?

Out the numbers 360, 460, 716, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.