GCD of 243, 471, 771, 963 Calculator

Given Input numbers are 243, 471, 771, 963

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 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (243, 471, 771, 963) = 3.

Given numbers are 243, 471, 771, 963

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 471 are 3 x 157

Prime factors of 771 are 3 x 257

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 243, 471, 771, 963 is 3.

Given numbers are 243, 471, 771, 963

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

Apply this formula for all numbers.

Step1:

LCM(243, 471) = 38151

GCD(243, 471) = ( 243 x 471 ) / 38151

= 243 / 471

= 243

Step2:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

Step3:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3

So, Greatest Common Divisor of 243, 471, 771, 963 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 280, 366, 386
• GCD of 968, 979, 775, 198
• GCD of 634, 572, 816, 752
• GCD of 372, 823, 273, 573
• GCD of 884, 806, 667, 670

Given numbers are 243, 471, 771, 963
The greatest common divisor of numbers 243, 471, 771, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 471, 771, 963 is 3.

1. What is the GCD of 243, 471, 771, 963?

GCD of given numbers 243, 471, 771, 963 is 3

2. How to calculate the greatest common divisor of 243, 471, 771, 963?

We can find the highest common divisor of 243, 471, 771, 963 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, 471, 771, 963 i.e 3.

3. How can I use the GCD of 243, 471, 771, 963Calculator?

Out the numbers 243, 471, 771, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.