GCD of 909, 387, 723, 147 Calculator

Given Input numbers are 909, 387, 723, 147

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (909, 387, 723, 147) = 3.

Given numbers are 909, 387, 723, 147

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 387 are 3 x 3 x 43

Prime factors of 723 are 3 x 241

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 909, 387, 723, 147 is 3.

Given numbers are 909, 387, 723, 147

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

Apply this formula for all numbers.

Step1:

LCM(909, 387) = 39087

GCD(909, 387) = ( 909 x 387 ) / 39087

= 909 / 387

= 909

Step2:

LCM(9, 723) = 2169

GCD(9, 723) = ( 9 x 723 ) / 2169

= 9 / 723

= 9

Step3:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

So, Greatest Common Divisor of 909, 387, 723, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 110, 817, 596
• GCD of 467, 231, 771, 551
• GCD of 626, 200, 863, 633
• GCD of 103, 999, 768, 100
• GCD of 666, 427, 708, 250

Given numbers are 909, 387, 723, 147
The greatest common divisor of numbers 909, 387, 723, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 387, 723, 147 is 3.

1. What is the GCD of 909, 387, 723, 147?

GCD of given numbers 909, 387, 723, 147 is 3

2. How to calculate the greatest common divisor of 909, 387, 723, 147?

We can find the highest common divisor of 909, 387, 723, 147 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, 387, 723, 147 i.e 3.

3. How can I use the GCD of 909, 387, 723, 147Calculator?

Out the numbers 909, 387, 723, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.