GCD of 574, 368, 120, 496 Calculator

Given Input numbers are 574, 368, 120, 496

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

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (574, 368, 120, 496) = 2.

Given numbers are 574, 368, 120, 496

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 574, 368, 120, 496 is 2.

Given numbers are 574, 368, 120, 496

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

Apply this formula for all numbers.

Step1:

LCM(574, 368) = 105616

GCD(574, 368) = ( 574 x 368 ) / 105616

= 574 / 368

= 574

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2

So, Greatest Common Divisor of 574, 368, 120, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 862, 883, 464
• GCD of 168, 882, 113, 902
• GCD of 975, 576, 592, 722
• GCD of 861, 828, 397, 664
• GCD of 876, 790, 369, 538

Given numbers are 574, 368, 120, 496
The greatest common divisor of numbers 574, 368, 120, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 368, 120, 496 is 2.

1. What is the GCD of 574, 368, 120, 496?

GCD of given numbers 574, 368, 120, 496 is 2

2. How to calculate the greatest common divisor of 574, 368, 120, 496?

We can find the highest common divisor of 574, 368, 120, 496 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 574, 368, 120, 496 i.e 2.

3. How can I use the GCD of 574, 368, 120, 496Calculator?

Out the numbers 574, 368, 120, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.