GCD of 744, 984, 108, 860 Calculator

Given Input numbers are 744, 984, 108, 860

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

GCD of numbers is the greatest common divisor

So, the GCD (744, 984, 108, 860) = 4.

Given numbers are 744, 984, 108, 860

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 860 are 2 x 2 x 5 x 43

The highest common occurrence is 2²

Therefore, GCD of 744, 984, 108, 860 is 4.

Given numbers are 744, 984, 108, 860

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

Apply this formula for all numbers.

Step1:

LCM(744, 984) = 30504

GCD(744, 984) = ( 744 x 984 ) / 30504

= 744 / 984

= 744

Step2:

LCM(24, 108) = 216

GCD(24, 108) = ( 24 x 108 ) / 216

= 24 / 108

= 24

Step3:

LCM(12, 860) = 2580

GCD(12, 860) = ( 12 x 860 ) / 2580

= 12 / 860

= 12

So, Greatest Common Divisor of 744, 984, 108, 860 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 677, 414, 208
• GCD of 326, 733, 953, 511
• GCD of 265, 790, 753, 303
• GCD of 296, 927, 945, 937
• GCD of 998, 731, 366, 177

Given numbers are 744, 984, 108, 860
The greatest common divisor of numbers 744, 984, 108, 860 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 984, 108, 860 is 4.

1. What is the GCD of 744, 984, 108, 860?

GCD of given numbers 744, 984, 108, 860 is 4

2. How to calculate the greatest common divisor of 744, 984, 108, 860?

We can find the highest common divisor of 744, 984, 108, 860 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 744, 984, 108, 860 i.e 4.

3. How can I use the GCD of 744, 984, 108, 860Calculator?

Out the numbers 744, 984, 108, 860 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.