GCD of 144, 340, 338, 139 Calculator

Given Input numbers are 144, 340, 338, 139

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

GCD of numbers is the greatest common divisor

So, the GCD (144, 340, 338, 139) = 1.

Given numbers are 144, 340, 338, 139

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 340 are 2 x 2 x 5 x 17

Prime factors of 338 are 2 x 13 x 13

Prime factors of 139 are 139

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 144, 340, 338, 139

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

Apply this formula for all numbers.

Step1:

LCM(144, 340) = 12240

GCD(144, 340) = ( 144 x 340 ) / 12240

= 144 / 340

= 144

Step2:

LCM(4, 338) = 676

GCD(4, 338) = ( 4 x 338 ) / 676

= 4 / 338

= 4

Step3:

LCM(2, 139) = 278

GCD(2, 139) = ( 2 x 139 ) / 278

= 2 / 139

= 2

So, Greatest Common Divisor of 144, 340, 338, 139 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 393, 945, 143
• GCD of 171, 270, 843, 617
• GCD of 595, 285, 753, 400
• GCD of 344, 979, 176, 942
• GCD of 642, 320, 387, 535

Given numbers are 144, 340, 338, 139
The greatest common divisor of numbers 144, 340, 338, 139 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 340, 338, 139 is 1.

1. What is the GCD of 144, 340, 338, 139?

GCD of given numbers 144, 340, 338, 139 is 1

2. How to calculate the greatest common divisor of 144, 340, 338, 139?

We can find the highest common divisor of 144, 340, 338, 139 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, 340, 338, 139 i.e 1.

3. How can I use the GCD of 144, 340, 338, 139Calculator?

Out the numbers 144, 340, 338, 139 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.