GCD of 369, 144, 334, 705 Calculator

Given Input numbers are 369, 144, 334, 705

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (369, 144, 334, 705) = 1.

Given numbers are 369, 144, 334, 705

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

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

Prime factors of 334 are 2 x 167

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 369, 144, 334, 705

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

Apply this formula for all numbers.

Step1:

LCM(369, 144) = 5904

GCD(369, 144) = ( 369 x 144 ) / 5904

= 369 / 144

= 369

Step2:

LCM(9, 334) = 3006

GCD(9, 334) = ( 9 x 334 ) / 3006

= 9 / 334

= 9

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 369, 144, 334, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 894, 201, 862
• GCD of 604, 997, 606, 222
• GCD of 399, 493, 214, 774
• GCD of 336, 733, 477, 162
• GCD of 995, 751, 206, 268

Given numbers are 369, 144, 334, 705
The greatest common divisor of numbers 369, 144, 334, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 144, 334, 705 is 1.

1. What is the GCD of 369, 144, 334, 705?

GCD of given numbers 369, 144, 334, 705 is 1

2. How to calculate the greatest common divisor of 369, 144, 334, 705?

We can find the highest common divisor of 369, 144, 334, 705 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 369, 144, 334, 705 i.e 1.

3. How can I use the GCD of 369, 144, 334, 705Calculator?

Out the numbers 369, 144, 334, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.