GCD of 720, 105, 966, 873 Calculator

Given Input numbers are 720, 105, 966, 873

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

GCD of numbers is the greatest common divisor

So, the GCD (720, 105, 966, 873) = 3.

Given numbers are 720, 105, 966, 873

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 105 are 3 x 5 x 7

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 873 are 3 x 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 720, 105, 966, 873 is 3.

Given numbers are 720, 105, 966, 873

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

Apply this formula for all numbers.

Step1:

LCM(720, 105) = 5040

GCD(720, 105) = ( 720 x 105 ) / 5040

= 720 / 105

= 720

Step2:

LCM(15, 966) = 4830

GCD(15, 966) = ( 15 x 966 ) / 4830

= 15 / 966

= 15

Step3:

LCM(3, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

= 3 / 873

= 3

So, Greatest Common Divisor of 720, 105, 966, 873 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 142, 755, 175
• GCD of 109, 238, 480, 606
• GCD of 488, 530, 688, 482
• GCD of 178, 645, 130, 618
• GCD of 833, 915, 374, 325

Given numbers are 720, 105, 966, 873
The greatest common divisor of numbers 720, 105, 966, 873 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 105, 966, 873 is 3.

1. What is the GCD of 720, 105, 966, 873?

GCD of given numbers 720, 105, 966, 873 is 3

2. How to calculate the greatest common divisor of 720, 105, 966, 873?

We can find the highest common divisor of 720, 105, 966, 873 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, 105, 966, 873 i.e 3.

3. How can I use the GCD of 720, 105, 966, 873Calculator?

Out the numbers 720, 105, 966, 873 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.