GCD of 243, 114, 945, 738 Calculator

Given Input numbers are 243, 114, 945, 738

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (243, 114, 945, 738) = 3.

Given numbers are 243, 114, 945, 738

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 114 are 2 x 3 x 19

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

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

The highest common occurrence is 3¹

Therefore, GCD of 243, 114, 945, 738 is 3.

Given numbers are 243, 114, 945, 738

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

Apply this formula for all numbers.

Step1:

LCM(243, 114) = 9234

GCD(243, 114) = ( 243 x 114 ) / 9234

= 243 / 114

= 243

Step2:

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

= 3 / 945

= 3

Step3:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

So, Greatest Common Divisor of 243, 114, 945, 738 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 189, 197, 998
• GCD of 598, 285, 350, 132
• GCD of 677, 650, 174, 166
• GCD of 322, 276, 289, 359
• GCD of 829, 949, 954, 846

Given numbers are 243, 114, 945, 738
The greatest common divisor of numbers 243, 114, 945, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 114, 945, 738 is 3.

1. What is the GCD of 243, 114, 945, 738?

GCD of given numbers 243, 114, 945, 738 is 3

2. How to calculate the greatest common divisor of 243, 114, 945, 738?

We can find the highest common divisor of 243, 114, 945, 738 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 243, 114, 945, 738 i.e 3.

3. How can I use the GCD of 243, 114, 945, 738Calculator?

Out the numbers 243, 114, 945, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.