GCD of 116, 878, 138, 480 Calculator

Given Input numbers are 116, 878, 138, 480

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 138 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (116, 878, 138, 480) = 2.

Given numbers are 116, 878, 138, 480

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 878 are 2 x 439

Prime factors of 138 are 2 x 3 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 116, 878, 138, 480 is 2.

Given numbers are 116, 878, 138, 480

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

Apply this formula for all numbers.

Step1:

LCM(116, 878) = 50924

GCD(116, 878) = ( 116 x 878 ) / 50924

= 116 / 878

= 116

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 116, 878, 138, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 223, 371, 842
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Given numbers are 116, 878, 138, 480
The greatest common divisor of numbers 116, 878, 138, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 878, 138, 480 is 2.

1. What is the GCD of 116, 878, 138, 480?

GCD of given numbers 116, 878, 138, 480 is 2

2. How to calculate the greatest common divisor of 116, 878, 138, 480?

We can find the highest common divisor of 116, 878, 138, 480 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 116, 878, 138, 480 i.e 2.

3. How can I use the GCD of 116, 878, 138, 480Calculator?

Out the numbers 116, 878, 138, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.