GCD of 471, 822, 852, 417 Calculator

Given Input numbers are 471, 822, 852, 417

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

GCD of numbers is the greatest common divisor

So, the GCD (471, 822, 852, 417) = 3.

Given numbers are 471, 822, 852, 417

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 822 are 2 x 3 x 137

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 417 are 3 x 139

The highest common occurrence is 3¹

Therefore, GCD of 471, 822, 852, 417 is 3.

Given numbers are 471, 822, 852, 417

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

Apply this formula for all numbers.

Step1:

LCM(471, 822) = 129054

GCD(471, 822) = ( 471 x 822 ) / 129054

= 471 / 822

= 471

Step2:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

Step3:

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

= 3 / 417

= 3

So, Greatest Common Divisor of 471, 822, 852, 417 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 467, 559, 875
• GCD of 427, 284, 929, 199
• GCD of 488, 811, 983, 766
• GCD of 185, 391, 734, 958
• GCD of 992, 951, 763, 433

Given numbers are 471, 822, 852, 417
The greatest common divisor of numbers 471, 822, 852, 417 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 822, 852, 417 is 3.

1. What is the GCD of 471, 822, 852, 417?

GCD of given numbers 471, 822, 852, 417 is 3

2. How to calculate the greatest common divisor of 471, 822, 852, 417?

We can find the highest common divisor of 471, 822, 852, 417 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, 822, 852, 417 i.e 3.

3. How can I use the GCD of 471, 822, 852, 417Calculator?

Out the numbers 471, 822, 852, 417 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.