GCD of 219, 996, 387, 861 Calculator

Given Input numbers are 219, 996, 387, 861

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

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (219, 996, 387, 861) = 3.

Given numbers are 219, 996, 387, 861

The list of prime factors of all numbers are

Prime factors of 219 are 3 x 73

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 387 are 3 x 3 x 43

Prime factors of 861 are 3 x 7 x 41

The highest common occurrence is 3¹

Therefore, GCD of 219, 996, 387, 861 is 3.

Given numbers are 219, 996, 387, 861

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

Apply this formula for all numbers.

Step1:

LCM(219, 996) = 72708

GCD(219, 996) = ( 219 x 996 ) / 72708

= 219 / 996

= 219

Step2:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

Step3:

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

= 3 / 861

= 3

So, Greatest Common Divisor of 219, 996, 387, 861 is 3

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• GCD of 466, 888, 558, 502
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Given numbers are 219, 996, 387, 861
The greatest common divisor of numbers 219, 996, 387, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 219, 996, 387, 861 is 3.

1. What is the GCD of 219, 996, 387, 861?

GCD of given numbers 219, 996, 387, 861 is 3

2. How to calculate the greatest common divisor of 219, 996, 387, 861?

We can find the highest common divisor of 219, 996, 387, 861 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 219, 996, 387, 861 i.e 3.

3. How can I use the GCD of 219, 996, 387, 861Calculator?

Out the numbers 219, 996, 387, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.