GCD of 144, 398, 696, 136 Calculator

Given Input numbers are 144, 398, 696, 136

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

GCD of numbers is the greatest common divisor

So, the GCD (144, 398, 696, 136) = 2.

Given numbers are 144, 398, 696, 136

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 398 are 2 x 199

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 136 are 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 144, 398, 696, 136 is 2.

Given numbers are 144, 398, 696, 136

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

Apply this formula for all numbers.

Step1:

LCM(144, 398) = 28656

GCD(144, 398) = ( 144 x 398 ) / 28656

= 144 / 398

= 144

Step2:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

Step3:

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

= 2 / 136

= 2

So, Greatest Common Divisor of 144, 398, 696, 136 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 455, 599, 221
• GCD of 186, 122, 672, 260
• GCD of 140, 227, 393, 399
• GCD of 567, 694, 578, 263
• GCD of 455, 968, 636, 706

Given numbers are 144, 398, 696, 136
The greatest common divisor of numbers 144, 398, 696, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 398, 696, 136 is 2.

1. What is the GCD of 144, 398, 696, 136?

GCD of given numbers 144, 398, 696, 136 is 2

2. How to calculate the greatest common divisor of 144, 398, 696, 136?

We can find the highest common divisor of 144, 398, 696, 136 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, 398, 696, 136 i.e 2.

3. How can I use the GCD of 144, 398, 696, 136Calculator?

Out the numbers 144, 398, 696, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.