GCD of 480, 138, 123, 708 Calculator

Given Input numbers are 480, 138, 123, 708

In the factoring method, we have to find the divisors of all numbers

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (480, 138, 123, 708) = 3.

Given numbers are 480, 138, 123, 708

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 138 are 2 x 3 x 23

Prime factors of 123 are 3 x 41

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 480, 138, 123, 708 is 3.

Given numbers are 480, 138, 123, 708

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

Apply this formula for all numbers.

Step1:

LCM(480, 138) = 11040

GCD(480, 138) = ( 480 x 138 ) / 11040

= 480 / 138

= 480

Step2:

LCM(6, 123) = 246

GCD(6, 123) = ( 6 x 123 ) / 246

= 6 / 123

= 6

Step3:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

So, Greatest Common Divisor of 480, 138, 123, 708 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 451, 493, 918
• GCD of 819, 762, 747, 615
• GCD of 809, 468, 986, 379
• GCD of 299, 204, 603, 998
• GCD of 129, 362, 911, 164

Given numbers are 480, 138, 123, 708
The greatest common divisor of numbers 480, 138, 123, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 138, 123, 708 is 3.

1. What is the GCD of 480, 138, 123, 708?

GCD of given numbers 480, 138, 123, 708 is 3

2. How to calculate the greatest common divisor of 480, 138, 123, 708?

We can find the highest common divisor of 480, 138, 123, 708 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 480, 138, 123, 708 i.e 3.

3. How can I use the GCD of 480, 138, 123, 708Calculator?

Out the numbers 480, 138, 123, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.