GCD of 408, 747, 729, 371 Calculator

Given Input numbers are 408, 747, 729, 371

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

GCD of numbers is the greatest common divisor

So, the GCD (408, 747, 729, 371) = 1.

Given numbers are 408, 747, 729, 371

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 747 are 3 x 3 x 83

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 371 are 7 x 53

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

Given numbers are 408, 747, 729, 371

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

Apply this formula for all numbers.

Step1:

LCM(408, 747) = 101592

GCD(408, 747) = ( 408 x 747 ) / 101592

= 408 / 747

= 408

Step2:

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

= 3 / 729

= 3

Step3:

LCM(3, 371) = 1113

GCD(3, 371) = ( 3 x 371 ) / 1113

= 3 / 371

= 3

So, Greatest Common Divisor of 408, 747, 729, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 653, 178, 109
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• GCD of 993, 303, 125, 737

Given numbers are 408, 747, 729, 371
The greatest common divisor of numbers 408, 747, 729, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 747, 729, 371 is 1.

1. What is the GCD of 408, 747, 729, 371?

GCD of given numbers 408, 747, 729, 371 is 1

2. How to calculate the greatest common divisor of 408, 747, 729, 371?

We can find the highest common divisor of 408, 747, 729, 371 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 408, 747, 729, 371 i.e 1.

3. How can I use the GCD of 408, 747, 729, 371Calculator?

Out the numbers 408, 747, 729, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.