GCD of 120, 884, 930, 116 Calculator

Given Input numbers are 120, 884, 930, 116

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

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 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 116 :

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

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (120, 884, 930, 116) = 2.

Given numbers are 120, 884, 930, 116

The list of prime factors of all numbers are

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

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 120, 884, 930, 116 is 2.

Given numbers are 120, 884, 930, 116

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

Apply this formula for all numbers.

Step1:

LCM(120, 884) = 26520

GCD(120, 884) = ( 120 x 884 ) / 26520

= 120 / 884

= 120

Step2:

LCM(4, 930) = 1860

GCD(4, 930) = ( 4 x 930 ) / 1860

= 4 / 930

= 4

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 120, 884, 930, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 666, 433, 107
• GCD of 378, 470, 616, 734
• GCD of 850, 702, 845, 829
• GCD of 967, 245, 382, 778
• GCD of 310, 106, 798, 632

Given numbers are 120, 884, 930, 116
The greatest common divisor of numbers 120, 884, 930, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 884, 930, 116 is 2.

1. What is the GCD of 120, 884, 930, 116?

GCD of given numbers 120, 884, 930, 116 is 2

2. How to calculate the greatest common divisor of 120, 884, 930, 116?

We can find the highest common divisor of 120, 884, 930, 116 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 120, 884, 930, 116 i.e 2.

3. How can I use the GCD of 120, 884, 930, 116Calculator?

Out the numbers 120, 884, 930, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.