GCD of 471, 472, 825, 217 Calculator

Given Input numbers are 471, 472, 825, 217

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

GCD of numbers is the greatest common divisor

So, the GCD (471, 472, 825, 217) = 1.

Given numbers are 471, 472, 825, 217

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 217 are 7 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 471, 472, 825, 217

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

Apply this formula for all numbers.

Step1:

LCM(471, 472) = 222312

GCD(471, 472) = ( 471 x 472 ) / 222312

= 471 / 472

= 471

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

= 1 / 217

= 1

So, Greatest Common Divisor of 471, 472, 825, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 970, 101, 141
• GCD of 928, 490, 170, 617
• GCD of 171, 831, 237, 297
• GCD of 363, 824, 377, 683
• GCD of 758, 415, 175, 586

Given numbers are 471, 472, 825, 217
The greatest common divisor of numbers 471, 472, 825, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 472, 825, 217 is 1.

1. What is the GCD of 471, 472, 825, 217?

GCD of given numbers 471, 472, 825, 217 is 1

2. How to calculate the greatest common divisor of 471, 472, 825, 217?

We can find the highest common divisor of 471, 472, 825, 217 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, 472, 825, 217 i.e 1.

3. How can I use the GCD of 471, 472, 825, 217Calculator?

Out the numbers 471, 472, 825, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.