GCD of 123, 540, 690, 963 Calculator

Given Input numbers are 123, 540, 690, 963

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (123, 540, 690, 963) = 3.

Given numbers are 123, 540, 690, 963

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 123, 540, 690, 963 is 3.

Given numbers are 123, 540, 690, 963

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

Apply this formula for all numbers.

Step1:

LCM(123, 540) = 22140

GCD(123, 540) = ( 123 x 540 ) / 22140

= 123 / 540

= 123

Step2:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

Step3:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3

So, Greatest Common Divisor of 123, 540, 690, 963 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 216, 951, 446
• GCD of 213, 932, 391, 300
• GCD of 362, 978, 588, 248
• GCD of 977, 907, 990, 156
• GCD of 342, 629, 487, 165

Given numbers are 123, 540, 690, 963
The greatest common divisor of numbers 123, 540, 690, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 540, 690, 963 is 3.

1. What is the GCD of 123, 540, 690, 963?

GCD of given numbers 123, 540, 690, 963 is 3

2. How to calculate the greatest common divisor of 123, 540, 690, 963?

We can find the highest common divisor of 123, 540, 690, 963 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, 540, 690, 963 i.e 3.

3. How can I use the GCD of 123, 540, 690, 963Calculator?

Out the numbers 123, 540, 690, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.