GCD of 318, 116, 560, 949 Calculator

Given Input numbers are 318, 116, 560, 949

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

GCD of numbers is the greatest common divisor

So, the GCD (318, 116, 560, 949) = 1.

Given numbers are 318, 116, 560, 949

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 116 are 2 x 2 x 29

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 949 are 13 x 73

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

Given numbers are 318, 116, 560, 949

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

Apply this formula for all numbers.

Step1:

LCM(318, 116) = 18444

GCD(318, 116) = ( 318 x 116 ) / 18444

= 318 / 116

= 318

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

= 2 / 949

= 2

So, Greatest Common Divisor of 318, 116, 560, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 424, 837, 518
• GCD of 418, 646, 641, 968
• GCD of 383, 582, 292, 495
• GCD of 709, 456, 395, 584
• GCD of 942, 928, 752, 385

Given numbers are 318, 116, 560, 949
The greatest common divisor of numbers 318, 116, 560, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 116, 560, 949 is 1.

1. What is the GCD of 318, 116, 560, 949?

GCD of given numbers 318, 116, 560, 949 is 1

2. How to calculate the greatest common divisor of 318, 116, 560, 949?

We can find the highest common divisor of 318, 116, 560, 949 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 318, 116, 560, 949 i.e 1.

3. How can I use the GCD of 318, 116, 560, 949Calculator?

Out the numbers 318, 116, 560, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.