GCD of 440, 744, 828, 548 Calculator

Given Input numbers are 440, 744, 828, 548

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (440, 744, 828, 548) = 4.

Given numbers are 440, 744, 828, 548

The list of prime factors of all numbers are

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 548 are 2 x 2 x 137

The highest common occurrence is 2²

Therefore, GCD of 440, 744, 828, 548 is 4.

Given numbers are 440, 744, 828, 548

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

Apply this formula for all numbers.

Step1:

LCM(440, 744) = 40920

GCD(440, 744) = ( 440 x 744 ) / 40920

= 440 / 744

= 440

Step2:

LCM(8, 828) = 1656

GCD(8, 828) = ( 8 x 828 ) / 1656

= 8 / 828

= 8

Step3:

LCM(4, 548) = 548

GCD(4, 548) = ( 4 x 548 ) / 548

= 4 / 548

= 4

So, Greatest Common Divisor of 440, 744, 828, 548 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 736, 783, 286
• GCD of 571, 557, 968, 741
• GCD of 836, 794, 536, 948
• GCD of 621, 264, 116, 905
• GCD of 419, 945, 278, 221

Given numbers are 440, 744, 828, 548
The greatest common divisor of numbers 440, 744, 828, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 440, 744, 828, 548 is 4.

1. What is the GCD of 440, 744, 828, 548?

GCD of given numbers 440, 744, 828, 548 is 4

2. How to calculate the greatest common divisor of 440, 744, 828, 548?

We can find the highest common divisor of 440, 744, 828, 548 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 440, 744, 828, 548 i.e 4.

3. How can I use the GCD of 440, 744, 828, 548Calculator?

Out the numbers 440, 744, 828, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.