GCD of 306, 689, 471, 225 Calculator

Given Input numbers are 306, 689, 471, 225

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

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 689 :

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

1, 13, 53, 689

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (306, 689, 471, 225) = 1.

Given numbers are 306, 689, 471, 225

The list of prime factors of all numbers are

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

Prime factors of 689 are 13 x 53

Prime factors of 471 are 3 x 157

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 306, 689, 471, 225

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

Apply this formula for all numbers.

Step1:

LCM(306, 689) = 210834

GCD(306, 689) = ( 306 x 689 ) / 210834

= 306 / 689

= 306

Step2:

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

= 1 / 471

= 1

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 306, 689, 471, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 140, 997, 962, 841
• GCD of 824, 636, 142, 784
• GCD of 776, 481, 301, 380
• GCD of 678, 947, 880, 686
• GCD of 290, 481, 628, 610

Given numbers are 306, 689, 471, 225
The greatest common divisor of numbers 306, 689, 471, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 689, 471, 225 is 1.

1. What is the GCD of 306, 689, 471, 225?

GCD of given numbers 306, 689, 471, 225 is 1

2. How to calculate the greatest common divisor of 306, 689, 471, 225?

We can find the highest common divisor of 306, 689, 471, 225 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 306, 689, 471, 225 i.e 1.

3. How can I use the GCD of 306, 689, 471, 225Calculator?

Out the numbers 306, 689, 471, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.