GCD of 471, 480, 711, 243 Calculator

Given Input numbers are 471, 480, 711, 243

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

Divisors of 471 :

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

1, 3, 157, 471

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 243 :

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

1, 3, 9, 27, 81, 243

GCD of numbers is the greatest common divisor

So, the GCD (471, 480, 711, 243) = 3.

Given numbers are 471, 480, 711, 243

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 711 are 3 x 3 x 79

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

The highest common occurrence is 3¹

Therefore, GCD of 471, 480, 711, 243 is 3.

Given numbers are 471, 480, 711, 243

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

Apply this formula for all numbers.

Step1:

LCM(471, 480) = 75360

GCD(471, 480) = ( 471 x 480 ) / 75360

= 471 / 480

= 471

Step2:

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

= 3 / 711

= 3

Step3:

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

= 3 / 243

= 3

So, Greatest Common Divisor of 471, 480, 711, 243 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 677, 701, 631
• GCD of 590, 616, 800, 849
• GCD of 190, 252, 485, 463
• GCD of 805, 561, 131, 824
• GCD of 584, 565, 257, 332

Given numbers are 471, 480, 711, 243
The greatest common divisor of numbers 471, 480, 711, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 480, 711, 243 is 3.

1. What is the GCD of 471, 480, 711, 243?

GCD of given numbers 471, 480, 711, 243 is 3

2. How to calculate the greatest common divisor of 471, 480, 711, 243?

We can find the highest common divisor of 471, 480, 711, 243 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 471, 480, 711, 243 i.e 3.

3. How can I use the GCD of 471, 480, 711, 243Calculator?

Out the numbers 471, 480, 711, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.