GCD of 789, 480, 313, 103 Calculator

Given Input numbers are 789, 480, 313, 103

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

GCD of numbers is the greatest common divisor

So, the GCD (789, 480, 313, 103) = 1.

Given numbers are 789, 480, 313, 103

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 313 are 313

Prime factors of 103 are 103

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

Given numbers are 789, 480, 313, 103

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

Apply this formula for all numbers.

Step1:

LCM(789, 480) = 126240

GCD(789, 480) = ( 789 x 480 ) / 126240

= 789 / 480

= 789

Step2:

LCM(3, 313) = 939

GCD(3, 313) = ( 3 x 313 ) / 939

= 3 / 313

= 3

Step3:

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

= 1 / 103

= 1

So, Greatest Common Divisor of 789, 480, 313, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 865, 763, 637
• GCD of 304, 339, 199, 858
• GCD of 997, 767, 713, 555
• GCD of 973, 331, 924, 827
• GCD of 780, 969, 530, 221

Given numbers are 789, 480, 313, 103
The greatest common divisor of numbers 789, 480, 313, 103 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 480, 313, 103 is 1.

1. What is the GCD of 789, 480, 313, 103?

GCD of given numbers 789, 480, 313, 103 is 1

2. How to calculate the greatest common divisor of 789, 480, 313, 103?

We can find the highest common divisor of 789, 480, 313, 103 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 789, 480, 313, 103 i.e 1.

3. How can I use the GCD of 789, 480, 313, 103Calculator?

Out the numbers 789, 480, 313, 103 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.