GCD of 304, 116, 918, 714 Calculator

Given Input numbers are 304, 116, 918, 714

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (304, 116, 918, 714) = 2.

Given numbers are 304, 116, 918, 714

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 116 are 2 x 2 x 29

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 304, 116, 918, 714 is 2.

Given numbers are 304, 116, 918, 714

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

Apply this formula for all numbers.

Step1:

LCM(304, 116) = 8816

GCD(304, 116) = ( 304 x 116 ) / 8816

= 304 / 116

= 304

Step2:

LCM(4, 918) = 1836

GCD(4, 918) = ( 4 x 918 ) / 1836

= 4 / 918

= 4

Step3:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

So, Greatest Common Divisor of 304, 116, 918, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 793, 664, 742
• GCD of 126, 107, 146, 458
• GCD of 498, 259, 409, 633
• GCD of 797, 683, 941, 256
• GCD of 943, 857, 219, 274

Given numbers are 304, 116, 918, 714
The greatest common divisor of numbers 304, 116, 918, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 116, 918, 714 is 2.

1. What is the GCD of 304, 116, 918, 714?

GCD of given numbers 304, 116, 918, 714 is 2

2. How to calculate the greatest common divisor of 304, 116, 918, 714?

We can find the highest common divisor of 304, 116, 918, 714 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 304, 116, 918, 714 i.e 2.

3. How can I use the GCD of 304, 116, 918, 714Calculator?

Out the numbers 304, 116, 918, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.