GCD of 705, 966, 744, 918 Calculator

Given Input numbers are 705, 966, 744, 918

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

Divisors of 705 :

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

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (705, 966, 744, 918) = 3.

Given numbers are 705, 966, 744, 918

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 705, 966, 744, 918 is 3.

Given numbers are 705, 966, 744, 918

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

Apply this formula for all numbers.

Step1:

LCM(705, 966) = 227010

GCD(705, 966) = ( 705 x 966 ) / 227010

= 705 / 966

= 705

Step2:

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

= 3 / 744

= 3

Step3:

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

= 3 / 918

= 3

So, Greatest Common Divisor of 705, 966, 744, 918 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 829, 284, 855
• GCD of 744, 207, 452, 365
• GCD of 155, 152, 690, 948
• GCD of 269, 603, 661, 897
• GCD of 903, 971, 947, 586

Given numbers are 705, 966, 744, 918
The greatest common divisor of numbers 705, 966, 744, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 966, 744, 918 is 3.

1. What is the GCD of 705, 966, 744, 918?

GCD of given numbers 705, 966, 744, 918 is 3

2. How to calculate the greatest common divisor of 705, 966, 744, 918?

We can find the highest common divisor of 705, 966, 744, 918 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 705, 966, 744, 918 i.e 3.

3. How can I use the GCD of 705, 966, 744, 918Calculator?

Out the numbers 705, 966, 744, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.