GCD of 370, 144, 496 Calculator

Given Input numbers are 370, 144, 496

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 (370, 144, 496) = 2.

Given numbers are 370, 144, 496

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 370, 144, 496 is 2.

Given numbers are 370, 144, 496

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

Apply this formula for all numbers.

Step1:

LCM(370, 144) = 26640

GCD(370, 144) = ( 370 x 144 ) / 26640

= 370 / 144

= 370

Step2:

LCM(2, 496) = 496

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

= 2 / 496

= 2

So, Greatest Common Divisor of 370, 144, 496 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 559, 633
• GCD of 850, 424, 475
• GCD of 371, 499, 779
• GCD of 287, 812, 664
• GCD of 924, 588, 556

Given numbers are 370, 144, 496
The greatest common divisor of numbers 370, 144, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 144, 496 is 2.

1. What is the GCD of 370, 144, 496?

GCD of given numbers 370, 144, 496 is 2

2. How to calculate the greatest common divisor of 370, 144, 496?

We can find the highest common divisor of 370, 144, 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 370, 144, 496 i.e 2.

3. How can I use the GCD of 370, 144, 496Calculator?

Out the numbers 370, 144, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.