GCD of 720, 318, 874, 916 Calculator

Given Input numbers are 720, 318, 874, 916

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 318 :

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

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (720, 318, 874, 916) = 2.

Given numbers are 720, 318, 874, 916

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 318 are 2 x 3 x 53

Prime factors of 874 are 2 x 19 x 23

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 720, 318, 874, 916 is 2.

Given numbers are 720, 318, 874, 916

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

Apply this formula for all numbers.

Step1:

LCM(720, 318) = 38160

GCD(720, 318) = ( 720 x 318 ) / 38160

= 720 / 318

= 720

Step2:

LCM(6, 874) = 2622

GCD(6, 874) = ( 6 x 874 ) / 2622

= 6 / 874

= 6

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 720, 318, 874, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 680, 634, 954
• GCD of 843, 987, 372, 165
• GCD of 779, 581, 698, 652
• GCD of 204, 590, 863, 139
• GCD of 501, 324, 198, 361

Given numbers are 720, 318, 874, 916
The greatest common divisor of numbers 720, 318, 874, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 318, 874, 916 is 2.

1. What is the GCD of 720, 318, 874, 916?

GCD of given numbers 720, 318, 874, 916 is 2

2. How to calculate the greatest common divisor of 720, 318, 874, 916?

We can find the highest common divisor of 720, 318, 874, 916 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 720, 318, 874, 916 i.e 2.

3. How can I use the GCD of 720, 318, 874, 916Calculator?

Out the numbers 720, 318, 874, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.