GCD of 387, 456, 414, 820 Calculator

Given Input numbers are 387, 456, 414, 820

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

Divisors of 387 :

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

1, 3, 9, 43, 129, 387

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (387, 456, 414, 820) = 1.

Given numbers are 387, 456, 414, 820

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 820 are 2 x 2 x 5 x 41

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

Given numbers are 387, 456, 414, 820

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

Apply this formula for all numbers.

Step1:

LCM(387, 456) = 58824

GCD(387, 456) = ( 387 x 456 ) / 58824

= 387 / 456

= 387

Step2:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

Step3:

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

= 3 / 820

= 3

So, Greatest Common Divisor of 387, 456, 414, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 379, 665, 532
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Given numbers are 387, 456, 414, 820
The greatest common divisor of numbers 387, 456, 414, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 456, 414, 820 is 1.

1. What is the GCD of 387, 456, 414, 820?

GCD of given numbers 387, 456, 414, 820 is 1

2. How to calculate the greatest common divisor of 387, 456, 414, 820?

We can find the highest common divisor of 387, 456, 414, 820 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 387, 456, 414, 820 i.e 1.

3. How can I use the GCD of 387, 456, 414, 820Calculator?

Out the numbers 387, 456, 414, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.