GCD of 123, 207, 693, 828 Calculator

Given Input numbers are 123, 207, 693, 828

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 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (123, 207, 693, 828) = 3.

Given numbers are 123, 207, 693, 828

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 207 are 3 x 3 x 23

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 123, 207, 693, 828 is 3.

Given numbers are 123, 207, 693, 828

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

Apply this formula for all numbers.

Step1:

LCM(123, 207) = 8487

GCD(123, 207) = ( 123 x 207 ) / 8487

= 123 / 207

= 123

Step2:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

Step3:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

So, Greatest Common Divisor of 123, 207, 693, 828 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 306, 962, 586
• GCD of 268, 871, 634, 101
• GCD of 744, 336, 618, 583
• GCD of 127, 720, 507, 972
• GCD of 210, 930, 612, 330

Given numbers are 123, 207, 693, 828
The greatest common divisor of numbers 123, 207, 693, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 207, 693, 828 is 3.

1. What is the GCD of 123, 207, 693, 828?

GCD of given numbers 123, 207, 693, 828 is 3

2. How to calculate the greatest common divisor of 123, 207, 693, 828?

We can find the highest common divisor of 123, 207, 693, 828 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, 207, 693, 828 i.e 3.

3. How can I use the GCD of 123, 207, 693, 828Calculator?

Out the numbers 123, 207, 693, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.