GCD of 144, 749, 705, 669 Calculator

Given Input numbers are 144, 749, 705, 669

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

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 705 :

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

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

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (144, 749, 705, 669) = 1.

Given numbers are 144, 749, 705, 669

The list of prime factors of all numbers are

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

Prime factors of 749 are 7 x 107

Prime factors of 705 are 3 x 5 x 47

Prime factors of 669 are 3 x 223

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

Given numbers are 144, 749, 705, 669

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

Apply this formula for all numbers.

Step1:

LCM(144, 749) = 107856

GCD(144, 749) = ( 144 x 749 ) / 107856

= 144 / 749

= 144

Step2:

LCM(1, 705) = 705

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

= 1 / 705

= 1

Step3:

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

= 1 / 669

= 1

So, Greatest Common Divisor of 144, 749, 705, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 345, 521, 465
• GCD of 133, 937, 561, 481
• GCD of 694, 814, 669, 189
• GCD of 680, 107, 729, 366
• GCD of 847, 113, 866, 279

Given numbers are 144, 749, 705, 669
The greatest common divisor of numbers 144, 749, 705, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 749, 705, 669 is 1.

1. What is the GCD of 144, 749, 705, 669?

GCD of given numbers 144, 749, 705, 669 is 1

2. How to calculate the greatest common divisor of 144, 749, 705, 669?

We can find the highest common divisor of 144, 749, 705, 669 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 144, 749, 705, 669 i.e 1.

3. How can I use the GCD of 144, 749, 705, 669Calculator?

Out the numbers 144, 749, 705, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.