GCD of 123, 390, 971, 380 Calculator

Given Input numbers are 123, 390, 971, 380

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

Divisors of 123 :

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

1, 3, 41, 123

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (123, 390, 971, 380) = 1.

Given numbers are 123, 390, 971, 380

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

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

Prime factors of 971 are 971

Prime factors of 380 are 2 x 2 x 5 x 19

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

Given numbers are 123, 390, 971, 380

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

Apply this formula for all numbers.

Step1:

LCM(123, 390) = 15990

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

= 123 / 390

= 123

Step2:

LCM(3, 971) = 2913

GCD(3, 971) = ( 3 x 971 ) / 2913

= 3 / 971

= 3

Step3:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

So, Greatest Common Divisor of 123, 390, 971, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 256, 679, 809
• GCD of 822, 233, 162, 694
• GCD of 745, 991, 493, 405
• GCD of 548, 718, 519, 920
• GCD of 706, 562, 868, 234

Given numbers are 123, 390, 971, 380
The greatest common divisor of numbers 123, 390, 971, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 390, 971, 380 is 1.

1. What is the GCD of 123, 390, 971, 380?

GCD of given numbers 123, 390, 971, 380 is 1

2. How to calculate the greatest common divisor of 123, 390, 971, 380?

We can find the highest common divisor of 123, 390, 971, 380 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 123, 390, 971, 380 i.e 1.

3. How can I use the GCD of 123, 390, 971, 380Calculator?

Out the numbers 123, 390, 971, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.