GCD of 756, 738, 945, 306 Calculator

Given Input numbers are 756, 738, 945, 306

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (756, 738, 945, 306) = 9.

Given numbers are 756, 738, 945, 306

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 3²

Therefore, GCD of 756, 738, 945, 306 is 9.

Given numbers are 756, 738, 945, 306

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

Apply this formula for all numbers.

Step1:

LCM(756, 738) = 30996

GCD(756, 738) = ( 756 x 738 ) / 30996

= 756 / 738

= 756

Step2:

LCM(18, 945) = 1890

GCD(18, 945) = ( 18 x 945 ) / 1890

= 18 / 945

= 18

Step3:

LCM(9, 306) = 306

GCD(9, 306) = ( 9 x 306 ) / 306

= 9 / 306

= 9

So, Greatest Common Divisor of 756, 738, 945, 306 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 564, 164, 352
• GCD of 523, 298, 993, 135
• GCD of 509, 350, 622, 277
• GCD of 519, 488, 792, 985
• GCD of 216, 193, 747, 642

Given numbers are 756, 738, 945, 306
The greatest common divisor of numbers 756, 738, 945, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 738, 945, 306 is 9.

1. What is the GCD of 756, 738, 945, 306?

GCD of given numbers 756, 738, 945, 306 is 9

2. How to calculate the greatest common divisor of 756, 738, 945, 306?

We can find the highest common divisor of 756, 738, 945, 306 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 756, 738, 945, 306 i.e 9.

3. How can I use the GCD of 756, 738, 945, 306Calculator?

Out the numbers 756, 738, 945, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.