GCD of 144, 358, 578, 632 Calculator

Given Input numbers are 144, 358, 578, 632

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

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (144, 358, 578, 632) = 2.

Given numbers are 144, 358, 578, 632

The list of prime factors of all numbers are

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

Prime factors of 358 are 2 x 179

Prime factors of 578 are 2 x 17 x 17

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 144, 358, 578, 632 is 2.

Given numbers are 144, 358, 578, 632

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

Apply this formula for all numbers.

Step1:

LCM(144, 358) = 25776

GCD(144, 358) = ( 144 x 358 ) / 25776

= 144 / 358

= 144

Step2:

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

= 2 / 578

= 2

Step3:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

So, Greatest Common Divisor of 144, 358, 578, 632 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 324, 980, 701
• GCD of 627, 833, 566, 655
• GCD of 568, 374, 804, 509
• GCD of 250, 491, 898, 867
• GCD of 218, 573, 699, 832

Given numbers are 144, 358, 578, 632
The greatest common divisor of numbers 144, 358, 578, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 358, 578, 632 is 2.

1. What is the GCD of 144, 358, 578, 632?

GCD of given numbers 144, 358, 578, 632 is 2

2. How to calculate the greatest common divisor of 144, 358, 578, 632?

We can find the highest common divisor of 144, 358, 578, 632 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 144, 358, 578, 632 i.e 2.

3. How can I use the GCD of 144, 358, 578, 632Calculator?

Out the numbers 144, 358, 578, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.