GCD of 390, 123, 898, 704 Calculator

Given Input numbers are 390, 123, 898, 704

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (390, 123, 898, 704) = 1.

Given numbers are 390, 123, 898, 704

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 123 are 3 x 41

Prime factors of 898 are 2 x 449

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Given numbers are 390, 123, 898, 704

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

Apply this formula for all numbers.

Step1:

LCM(390, 123) = 15990

GCD(390, 123) = ( 390 x 123 ) / 15990

= 390 / 123

= 390

Step2:

LCM(3, 898) = 2694

GCD(3, 898) = ( 3 x 898 ) / 2694

= 3 / 898

= 3

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 390, 123, 898, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 752, 426, 831
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• GCD of 286, 688, 733, 546

Given numbers are 390, 123, 898, 704
The greatest common divisor of numbers 390, 123, 898, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 123, 898, 704 is 1.

1. What is the GCD of 390, 123, 898, 704?

GCD of given numbers 390, 123, 898, 704 is 1

2. How to calculate the greatest common divisor of 390, 123, 898, 704?

We can find the highest common divisor of 390, 123, 898, 704 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 390, 123, 898, 704 i.e 1.

3. How can I use the GCD of 390, 123, 898, 704Calculator?

Out the numbers 390, 123, 898, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.