GCD of 313, 143, 460, 360 Calculator

Given Input numbers are 313, 143, 460, 360

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

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 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

GCD of numbers is the greatest common divisor

So, the GCD (313, 143, 460, 360) = 1.

Given numbers are 313, 143, 460, 360

The list of prime factors of all numbers are

Prime factors of 313 are 313

Prime factors of 143 are 11 x 13

Prime factors of 460 are 2 x 2 x 5 x 23

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

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

Given numbers are 313, 143, 460, 360

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

Apply this formula for all numbers.

Step1:

LCM(313, 143) = 44759

GCD(313, 143) = ( 313 x 143 ) / 44759

= 313 / 143

= 313

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 313, 143, 460, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 810, 535, 430
• GCD of 358, 247, 900, 150
• GCD of 427, 106, 842, 215
• GCD of 577, 488, 204, 475
• GCD of 627, 250, 244, 294

Given numbers are 313, 143, 460, 360
The greatest common divisor of numbers 313, 143, 460, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 143, 460, 360 is 1.

1. What is the GCD of 313, 143, 460, 360?

GCD of given numbers 313, 143, 460, 360 is 1

2. How to calculate the greatest common divisor of 313, 143, 460, 360?

We can find the highest common divisor of 313, 143, 460, 360 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 313, 143, 460, 360 i.e 1.

3. How can I use the GCD of 313, 143, 460, 360Calculator?

Out the numbers 313, 143, 460, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.