GCD of 744, 448, 84, 484 Calculator

Given Input numbers are 744, 448, 84, 484

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (744, 448, 84, 484) = 4.

Given numbers are 744, 448, 84, 484

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 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 484 are 2 x 2 x 11 x 11

The highest common occurrence is 2²

Therefore, GCD of 744, 448, 84, 484 is 4.

Given numbers are 744, 448, 84, 484

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

Apply this formula for all numbers.

Step1:

LCM(744, 448) = 41664

GCD(744, 448) = ( 744 x 448 ) / 41664

= 744 / 448

= 744

Step2:

LCM(8, 84) = 168

GCD(8, 84) = ( 8 x 84 ) / 168

= 8 / 84

= 8

Step3:

LCM(4, 484) = 484

GCD(4, 484) = ( 4 x 484 ) / 484

= 4 / 484

= 4

So, Greatest Common Divisor of 744, 448, 84, 484 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 457, 16, 224
• GCD of 116, 457, 15, 114
• GCD of 856, 805, 25, 738
• GCD of 599, 773, 90, 373
• GCD of 534, 834, 58, 228

Given numbers are 744, 448, 84, 484
The greatest common divisor of numbers 744, 448, 84, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 448, 84, 484 is 4.

1. What is the GCD of 744, 448, 84, 484?

GCD of given numbers 744, 448, 84, 484 is 4

2. How to calculate the greatest common divisor of 744, 448, 84, 484?

We can find the highest common divisor of 744, 448, 84, 484 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, 448, 84, 484 i.e 4.

3. How can I use the GCD of 744, 448, 84, 484Calculator?

Out the numbers 744, 448, 84, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.