GCD of 831, 252, 216, 807 Calculator

Given Input numbers are 831, 252, 216, 807

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

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

GCD of numbers is the greatest common divisor

So, the GCD (831, 252, 216, 807) = 3.

Given numbers are 831, 252, 216, 807

The list of prime factors of all numbers are

Prime factors of 831 are 3 x 277

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 807 are 3 x 269

The highest common occurrence is 3¹

Therefore, GCD of 831, 252, 216, 807 is 3.

Given numbers are 831, 252, 216, 807

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

Apply this formula for all numbers.

Step1:

LCM(831, 252) = 69804

GCD(831, 252) = ( 831 x 252 ) / 69804

= 831 / 252

= 831

Step2:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

Step3:

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

= 3 / 807

= 3

So, Greatest Common Divisor of 831, 252, 216, 807 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 373, 503, 284
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• GCD of 721, 943, 736, 138
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Given numbers are 831, 252, 216, 807
The greatest common divisor of numbers 831, 252, 216, 807 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 252, 216, 807 is 3.

1. What is the GCD of 831, 252, 216, 807?

GCD of given numbers 831, 252, 216, 807 is 3

2. How to calculate the greatest common divisor of 831, 252, 216, 807?

We can find the highest common divisor of 831, 252, 216, 807 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 831, 252, 216, 807 i.e 3.

3. How can I use the GCD of 831, 252, 216, 807Calculator?

Out the numbers 831, 252, 216, 807 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.