GCD of 123, 186, 940, 960 Calculator

Given Input numbers are 123, 186, 940, 960

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 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (123, 186, 940, 960) = 1.

Given numbers are 123, 186, 940, 960

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 186 are 2 x 3 x 31

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 123, 186, 940, 960

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

Apply this formula for all numbers.

Step1:

LCM(123, 186) = 7626

GCD(123, 186) = ( 123 x 186 ) / 7626

= 123 / 186

= 123

Step2:

LCM(3, 940) = 2820

GCD(3, 940) = ( 3 x 940 ) / 2820

= 3 / 940

= 3

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 123, 186, 940, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 307, 825, 257
• GCD of 769, 644, 547, 367
• GCD of 682, 987, 360, 755
• GCD of 494, 813, 753, 869
• GCD of 459, 851, 630, 338

Given numbers are 123, 186, 940, 960
The greatest common divisor of numbers 123, 186, 940, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 186, 940, 960 is 1.

1. What is the GCD of 123, 186, 940, 960?

GCD of given numbers 123, 186, 940, 960 is 1

2. How to calculate the greatest common divisor of 123, 186, 940, 960?

We can find the highest common divisor of 123, 186, 940, 960 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, 186, 940, 960 i.e 1.

3. How can I use the GCD of 123, 186, 940, 960Calculator?

Out the numbers 123, 186, 940, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.