GCD of 189, 343, 991, 144 Calculator

Given Input numbers are 189, 343, 991, 144

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

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 (189, 343, 991, 144) = 1.

Given numbers are 189, 343, 991, 144

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 343 are 7 x 7 x 7

Prime factors of 991 are 991

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 189, 343, 991, 144

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

Apply this formula for all numbers.

Step1:

LCM(189, 343) = 9261

GCD(189, 343) = ( 189 x 343 ) / 9261

= 189 / 343

= 189

Step2:

LCM(7, 991) = 6937

GCD(7, 991) = ( 7 x 991 ) / 6937

= 7 / 991

= 7

Step3:

LCM(1, 144) = 144

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

= 1 / 144

= 1

So, Greatest Common Divisor of 189, 343, 991, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 462, 768, 746
• GCD of 629, 330, 609, 308
• GCD of 596, 794, 225, 931
• GCD of 103, 619, 706, 494
• GCD of 932, 161, 188, 766

Given numbers are 189, 343, 991, 144
The greatest common divisor of numbers 189, 343, 991, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 343, 991, 144 is 1.

1. What is the GCD of 189, 343, 991, 144?

GCD of given numbers 189, 343, 991, 144 is 1

2. How to calculate the greatest common divisor of 189, 343, 991, 144?

We can find the highest common divisor of 189, 343, 991, 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 189, 343, 991, 144 i.e 1.

3. How can I use the GCD of 189, 343, 991, 144Calculator?

Out the numbers 189, 343, 991, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.