GCD of 123, 765, 872, 997 Calculator

Given Input numbers are 123, 765, 872, 997

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

GCD of numbers is the greatest common divisor

So, the GCD (123, 765, 872, 997) = 1.

Given numbers are 123, 765, 872, 997

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 997 are 997

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

Given numbers are 123, 765, 872, 997

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

Apply this formula for all numbers.

Step1:

LCM(123, 765) = 31365

GCD(123, 765) = ( 123 x 765 ) / 31365

= 123 / 765

= 123

Step2:

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

= 3 / 872

= 3

Step3:

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

= 1 / 997

= 1

So, Greatest Common Divisor of 123, 765, 872, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 358, 699, 648
• GCD of 144, 274, 158, 577
• GCD of 573, 201, 582, 425
• GCD of 860, 238, 444, 755
• GCD of 197, 865, 878, 356

Given numbers are 123, 765, 872, 997
The greatest common divisor of numbers 123, 765, 872, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 765, 872, 997 is 1.

1. What is the GCD of 123, 765, 872, 997?

GCD of given numbers 123, 765, 872, 997 is 1

2. How to calculate the greatest common divisor of 123, 765, 872, 997?

We can find the highest common divisor of 123, 765, 872, 997 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, 765, 872, 997 i.e 1.

3. How can I use the GCD of 123, 765, 872, 997Calculator?

Out the numbers 123, 765, 872, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.