GCD of 909, 978, 612, 345 Calculator

Given Input numbers are 909, 978, 612, 345

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (909, 978, 612, 345) = 3.

Given numbers are 909, 978, 612, 345

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 978 are 2 x 3 x 163

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 345 are 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 909, 978, 612, 345 is 3.

Given numbers are 909, 978, 612, 345

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

Apply this formula for all numbers.

Step1:

LCM(909, 978) = 296334

GCD(909, 978) = ( 909 x 978 ) / 296334

= 909 / 978

= 909

Step2:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

Step3:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

So, Greatest Common Divisor of 909, 978, 612, 345 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 665, 292, 370
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Given numbers are 909, 978, 612, 345
The greatest common divisor of numbers 909, 978, 612, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 978, 612, 345 is 3.

1. What is the GCD of 909, 978, 612, 345?

GCD of given numbers 909, 978, 612, 345 is 3

2. How to calculate the greatest common divisor of 909, 978, 612, 345?

We can find the highest common divisor of 909, 978, 612, 345 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 909, 978, 612, 345 i.e 3.

3. How can I use the GCD of 909, 978, 612, 345Calculator?

Out the numbers 909, 978, 612, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.