GCD of 199, 343, 689, 144 Calculator

Given Input numbers are 199, 343, 689, 144

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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

GCD of numbers is the greatest common divisor

So, the GCD (199, 343, 689, 144) = 1.

Given numbers are 199, 343, 689, 144

The list of prime factors of all numbers are

Prime factors of 199 are 199

Prime factors of 343 are 7 x 7 x 7

Prime factors of 689 are 13 x 53

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

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

Given numbers are 199, 343, 689, 144

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

Apply this formula for all numbers.

Step1:

LCM(199, 343) = 68257

GCD(199, 343) = ( 199 x 343 ) / 68257

= 199 / 343

= 199

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 199, 343, 689, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 880, 256, 963
• GCD of 181, 574, 469, 585
• GCD of 351, 879, 375, 473
• GCD of 480, 421, 648, 725
• GCD of 431, 796, 107, 701

Given numbers are 199, 343, 689, 144
The greatest common divisor of numbers 199, 343, 689, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 343, 689, 144 is 1.

1. What is the GCD of 199, 343, 689, 144?

GCD of given numbers 199, 343, 689, 144 is 1

2. How to calculate the greatest common divisor of 199, 343, 689, 144?

We can find the highest common divisor of 199, 343, 689, 144 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 199, 343, 689, 144 i.e 1.

3. How can I use the GCD of 199, 343, 689, 144Calculator?

Out the numbers 199, 343, 689, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.