GCD of 105, 609, 726, 189 Calculator

Given Input numbers are 105, 609, 726, 189

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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 (105, 609, 726, 189) = 3.

Given numbers are 105, 609, 726, 189

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 609 are 3 x 7 x 29

Prime factors of 726 are 2 x 3 x 11 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 105, 609, 726, 189 is 3.

Given numbers are 105, 609, 726, 189

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

Apply this formula for all numbers.

Step1:

LCM(105, 609) = 3045

GCD(105, 609) = ( 105 x 609 ) / 3045

= 105 / 609

= 105

Step2:

LCM(21, 726) = 5082

GCD(21, 726) = ( 21 x 726 ) / 5082

= 21 / 726

= 21

Step3:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

So, Greatest Common Divisor of 105, 609, 726, 189 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 174, 749, 169
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Given numbers are 105, 609, 726, 189
The greatest common divisor of numbers 105, 609, 726, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 609, 726, 189 is 3.

1. What is the GCD of 105, 609, 726, 189?

GCD of given numbers 105, 609, 726, 189 is 3

2. How to calculate the greatest common divisor of 105, 609, 726, 189?

We can find the highest common divisor of 105, 609, 726, 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 105, 609, 726, 189 i.e 3.

3. How can I use the GCD of 105, 609, 726, 189Calculator?

Out the numbers 105, 609, 726, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.