GCD of 314, 738, 966, 732 Calculator

Given Input numbers are 314, 738, 966, 732

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

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 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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (314, 738, 966, 732) = 2.

Given numbers are 314, 738, 966, 732

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

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

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

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 2¹

Therefore, GCD of 314, 738, 966, 732 is 2.

Given numbers are 314, 738, 966, 732

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

Apply this formula for all numbers.

Step1:

LCM(314, 738) = 115866

GCD(314, 738) = ( 314 x 738 ) / 115866

= 314 / 738

= 314

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

= 2 / 732

= 2

So, Greatest Common Divisor of 314, 738, 966, 732 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 735, 715, 568
• GCD of 539, 199, 175, 396
• GCD of 636, 240, 589, 450
• GCD of 177, 193, 767, 782
• GCD of 815, 217, 983, 575

Given numbers are 314, 738, 966, 732
The greatest common divisor of numbers 314, 738, 966, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 738, 966, 732 is 2.

1. What is the GCD of 314, 738, 966, 732?

GCD of given numbers 314, 738, 966, 732 is 2

2. How to calculate the greatest common divisor of 314, 738, 966, 732?

We can find the highest common divisor of 314, 738, 966, 732 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 314, 738, 966, 732 i.e 2.

3. How can I use the GCD of 314, 738, 966, 732Calculator?

Out the numbers 314, 738, 966, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.