GCD of 471, 237, 447, 456 Calculator

Given Input numbers are 471, 237, 447, 456

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 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (471, 237, 447, 456) = 3.

Given numbers are 471, 237, 447, 456

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 237 are 3 x 79

Prime factors of 447 are 3 x 149

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 471, 237, 447, 456 is 3.

Given numbers are 471, 237, 447, 456

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

Apply this formula for all numbers.

Step1:

LCM(471, 237) = 37209

GCD(471, 237) = ( 471 x 237 ) / 37209

= 471 / 237

= 471

Step2:

LCM(3, 447) = 447

GCD(3, 447) = ( 3 x 447 ) / 447

= 3 / 447

= 3

Step3:

LCM(3, 456) = 456

GCD(3, 456) = ( 3 x 456 ) / 456

= 3 / 456

= 3

So, Greatest Common Divisor of 471, 237, 447, 456 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 203, 312, 262
• GCD of 465, 192, 438, 169
• GCD of 423, 166, 461, 209
• GCD of 924, 863, 773, 719
• GCD of 985, 715, 995, 872

Given numbers are 471, 237, 447, 456
The greatest common divisor of numbers 471, 237, 447, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 237, 447, 456 is 3.

1. What is the GCD of 471, 237, 447, 456?

GCD of given numbers 471, 237, 447, 456 is 3

2. How to calculate the greatest common divisor of 471, 237, 447, 456?

We can find the highest common divisor of 471, 237, 447, 456 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, 237, 447, 456 i.e 3.

3. How can I use the GCD of 471, 237, 447, 456Calculator?

Out the numbers 471, 237, 447, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.