GCD of 123, 321, 750, 927 Calculator

Given Input numbers are 123, 321, 750, 927

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 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

GCD of numbers is the greatest common divisor

So, the GCD (123, 321, 750, 927) = 3.

Given numbers are 123, 321, 750, 927

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 321 are 3 x 107

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 927 are 3 x 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 123, 321, 750, 927 is 3.

Given numbers are 123, 321, 750, 927

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

Apply this formula for all numbers.

Step1:

LCM(123, 321) = 13161

GCD(123, 321) = ( 123 x 321 ) / 13161

= 123 / 321

= 123

Step2:

LCM(3, 750) = 750

GCD(3, 750) = ( 3 x 750 ) / 750

= 3 / 750

= 3

Step3:

LCM(3, 927) = 927

GCD(3, 927) = ( 3 x 927 ) / 927

= 3 / 927

= 3

So, Greatest Common Divisor of 123, 321, 750, 927 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 220, 130, 911
• GCD of 309, 155, 504, 847
• GCD of 198, 946, 518, 443
• GCD of 782, 530, 526, 543
• GCD of 475, 142, 717, 935

Given numbers are 123, 321, 750, 927
The greatest common divisor of numbers 123, 321, 750, 927 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 321, 750, 927 is 3.

1. What is the GCD of 123, 321, 750, 927?

GCD of given numbers 123, 321, 750, 927 is 3

2. How to calculate the greatest common divisor of 123, 321, 750, 927?

We can find the highest common divisor of 123, 321, 750, 927 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, 321, 750, 927 i.e 3.

3. How can I use the GCD of 123, 321, 750, 927Calculator?

Out the numbers 123, 321, 750, 927 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.