GCD of 123, 726, 771, 912 Calculator

Given Input numbers are 123, 726, 771, 912

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (123, 726, 771, 912) = 3.

Given numbers are 123, 726, 771, 912

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 771 are 3 x 257

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 123, 726, 771, 912 is 3.

Given numbers are 123, 726, 771, 912

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

Apply this formula for all numbers.

Step1:

LCM(123, 726) = 29766

GCD(123, 726) = ( 123 x 726 ) / 29766

= 123 / 726

= 123

Step2:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

Step3:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3

So, Greatest Common Divisor of 123, 726, 771, 912 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 814, 970, 834, 286
• GCD of 521, 685, 878, 428
• GCD of 897, 879, 988, 226
• GCD of 872, 647, 780, 646
• GCD of 965, 889, 777, 302

Given numbers are 123, 726, 771, 912
The greatest common divisor of numbers 123, 726, 771, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 726, 771, 912 is 3.

1. What is the GCD of 123, 726, 771, 912?

GCD of given numbers 123, 726, 771, 912 is 3

2. How to calculate the greatest common divisor of 123, 726, 771, 912?

We can find the highest common divisor of 123, 726, 771, 912 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, 726, 771, 912 i.e 3.

3. How can I use the GCD of 123, 726, 771, 912Calculator?

Out the numbers 123, 726, 771, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.