GCD of 217, 189, 306, 690 Calculator

Given Input numbers are 217, 189, 306, 690

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 189 :

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

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (217, 189, 306, 690) = 1.

Given numbers are 217, 189, 306, 690

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

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

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 690 are 2 x 3 x 5 x 23

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

Given numbers are 217, 189, 306, 690

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

Apply this formula for all numbers.

Step1:

LCM(217, 189) = 5859

GCD(217, 189) = ( 217 x 189 ) / 5859

= 217 / 189

= 217

Step2:

LCM(7, 306) = 2142

GCD(7, 306) = ( 7 x 306 ) / 2142

= 7 / 306

= 7

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 217, 189, 306, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 358, 600, 719
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Given numbers are 217, 189, 306, 690
The greatest common divisor of numbers 217, 189, 306, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 189, 306, 690 is 1.

1. What is the GCD of 217, 189, 306, 690?

GCD of given numbers 217, 189, 306, 690 is 1

2. How to calculate the greatest common divisor of 217, 189, 306, 690?

We can find the highest common divisor of 217, 189, 306, 690 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 217, 189, 306, 690 i.e 1.

3. How can I use the GCD of 217, 189, 306, 690Calculator?

Out the numbers 217, 189, 306, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.