GCD of 234, 870, 120, 720 Calculator

Given Input numbers are 234, 870, 120, 720

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

GCD of numbers is the greatest common divisor

So, the GCD (234, 870, 120, 720) = 6.

Given numbers are 234, 870, 120, 720

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 234, 870, 120, 720 is 6.

Given numbers are 234, 870, 120, 720

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

Apply this formula for all numbers.

Step1:

LCM(234, 870) = 33930

GCD(234, 870) = ( 234 x 870 ) / 33930

= 234 / 870

= 234

Step2:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

Step3:

LCM(6, 720) = 720

GCD(6, 720) = ( 6 x 720 ) / 720

= 6 / 720

= 6

So, Greatest Common Divisor of 234, 870, 120, 720 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 253, 897, 415
• GCD of 111, 102, 466, 934
• GCD of 381, 766, 304, 959
• GCD of 281, 884, 621, 610
• GCD of 493, 677, 330, 672

Given numbers are 234, 870, 120, 720
The greatest common divisor of numbers 234, 870, 120, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 870, 120, 720 is 6.

1. What is the GCD of 234, 870, 120, 720?

GCD of given numbers 234, 870, 120, 720 is 6

2. How to calculate the greatest common divisor of 234, 870, 120, 720?

We can find the highest common divisor of 234, 870, 120, 720 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 234, 870, 120, 720 i.e 6.

3. How can I use the GCD of 234, 870, 120, 720Calculator?

Out the numbers 234, 870, 120, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.