GCD of 849, 738, 144 Calculator

Given Input numbers are 849, 738, 144

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (849, 738, 144) = 3.

Given numbers are 849, 738, 144

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 849, 738, 144 is 3.

Given numbers are 849, 738, 144

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

Apply this formula for all numbers.

Step1:

LCM(849, 738) = 208854

GCD(849, 738) = ( 849 x 738 ) / 208854

= 849 / 738

= 849

Step2:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

So, Greatest Common Divisor of 849, 738, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 673, 801
• GCD of 820, 590, 245
• GCD of 683, 359, 770
• GCD of 487, 242, 174
• GCD of 887, 864, 414

Given numbers are 849, 738, 144
The greatest common divisor of numbers 849, 738, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 738, 144 is 3.

1. What is the GCD of 849, 738, 144?

GCD of given numbers 849, 738, 144 is 3

2. How to calculate the greatest common divisor of 849, 738, 144?

We can find the highest common divisor of 849, 738, 144 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 849, 738, 144 i.e 3.

3. How can I use the GCD of 849, 738, 144Calculator?

Out the numbers 849, 738, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.