GCD of 120, 878, 936, 102 Calculator

Given Input numbers are 120, 878, 936, 102

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 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (120, 878, 936, 102) = 2.

Given numbers are 120, 878, 936, 102

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 878 are 2 x 439

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 120, 878, 936, 102 is 2.

Given numbers are 120, 878, 936, 102

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

Apply this formula for all numbers.

Step1:

LCM(120, 878) = 52680

GCD(120, 878) = ( 120 x 878 ) / 52680

= 120 / 878

= 120

Step2:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2

Step3:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

So, Greatest Common Divisor of 120, 878, 936, 102 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 365, 551, 163
• GCD of 441, 235, 687, 812
• GCD of 493, 230, 157, 626
• GCD of 220, 566, 340, 501
• GCD of 844, 793, 925, 243

Given numbers are 120, 878, 936, 102
The greatest common divisor of numbers 120, 878, 936, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 878, 936, 102 is 2.

1. What is the GCD of 120, 878, 936, 102?

GCD of given numbers 120, 878, 936, 102 is 2

2. How to calculate the greatest common divisor of 120, 878, 936, 102?

We can find the highest common divisor of 120, 878, 936, 102 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, 878, 936, 102 i.e 2.

3. How can I use the GCD of 120, 878, 936, 102Calculator?

Out the numbers 120, 878, 936, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.