GCD of 643, 338, 749, 189 Calculator

Given Input numbers are 643, 338, 749, 189

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

Divisors of 643 :

The positive integer divisors of 643 that completely divides 643 are.

1, 643

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 189 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (643, 338, 749, 189) = 1.

Given numbers are 643, 338, 749, 189

The list of prime factors of all numbers are

Prime factors of 643 are 643

Prime factors of 338 are 2 x 13 x 13

Prime factors of 749 are 7 x 107

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

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

Given numbers are 643, 338, 749, 189

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

Apply this formula for all numbers.

Step1:

LCM(643, 338) = 217334

GCD(643, 338) = ( 643 x 338 ) / 217334

= 643 / 338

= 643

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 643, 338, 749, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 970, 295, 507
• GCD of 673, 340, 406, 873
• GCD of 744, 449, 621, 506
• GCD of 186, 616, 751, 711
• GCD of 874, 426, 901, 355

Given numbers are 643, 338, 749, 189
The greatest common divisor of numbers 643, 338, 749, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 643, 338, 749, 189 is 1.

1. What is the GCD of 643, 338, 749, 189?

GCD of given numbers 643, 338, 749, 189 is 1

2. How to calculate the greatest common divisor of 643, 338, 749, 189?

We can find the highest common divisor of 643, 338, 749, 189 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 643, 338, 749, 189 i.e 1.

3. How can I use the GCD of 643, 338, 749, 189Calculator?

Out the numbers 643, 338, 749, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.