GCD of 984, 144, 409, 721 Calculator

Given Input numbers are 984, 144, 409, 721

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (984, 144, 409, 721) = 1.

Given numbers are 984, 144, 409, 721

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Prime factors of 409 are 409

Prime factors of 721 are 7 x 103

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

Given numbers are 984, 144, 409, 721

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

Apply this formula for all numbers.

Step1:

LCM(984, 144) = 5904

GCD(984, 144) = ( 984 x 144 ) / 5904

= 984 / 144

= 984

Step2:

LCM(24, 409) = 9816

GCD(24, 409) = ( 24 x 409 ) / 9816

= 24 / 409

= 24

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 984, 144, 409, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 710, 165, 278
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• GCD of 785, 529, 400, 142
• GCD of 944, 400, 876, 285

Given numbers are 984, 144, 409, 721
The greatest common divisor of numbers 984, 144, 409, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 144, 409, 721 is 1.

1. What is the GCD of 984, 144, 409, 721?

GCD of given numbers 984, 144, 409, 721 is 1

2. How to calculate the greatest common divisor of 984, 144, 409, 721?

We can find the highest common divisor of 984, 144, 409, 721 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 984, 144, 409, 721 i.e 1.

3. How can I use the GCD of 984, 144, 409, 721Calculator?

Out the numbers 984, 144, 409, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.