GCD of 893, 729, 214, 144 Calculator

Given Input numbers are 893, 729, 214, 144

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

Divisors of 893 :

The positive integer divisors of 893 that completely divides 893 are.

1, 19, 47, 893

Divisors of 729 :

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

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (893, 729, 214, 144) = 1.

Given numbers are 893, 729, 214, 144

The list of prime factors of all numbers are

Prime factors of 893 are 19 x 47

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

Prime factors of 214 are 2 x 107

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 893, 729, 214, 144

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

Apply this formula for all numbers.

Step1:

LCM(893, 729) = 650997

GCD(893, 729) = ( 893 x 729 ) / 650997

= 893 / 729

= 893

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 893, 729, 214, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 227, 131, 883
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Given numbers are 893, 729, 214, 144
The greatest common divisor of numbers 893, 729, 214, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 893, 729, 214, 144 is 1.

1. What is the GCD of 893, 729, 214, 144?

GCD of given numbers 893, 729, 214, 144 is 1

2. How to calculate the greatest common divisor of 893, 729, 214, 144?

We can find the highest common divisor of 893, 729, 214, 144 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 893, 729, 214, 144 i.e 1.

3. How can I use the GCD of 893, 729, 214, 144Calculator?

Out the numbers 893, 729, 214, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.