GCD of 108, 248, 50, 264 Calculator

Given Input numbers are 108, 248, 50, 264

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (108, 248, 50, 264) = 2.

Given numbers are 108, 248, 50, 264

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 50 are 2 x 5 x 5

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 108, 248, 50, 264 is 2.

Given numbers are 108, 248, 50, 264

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

Apply this formula for all numbers.

Step1:

LCM(108, 248) = 6696

GCD(108, 248) = ( 108 x 248 ) / 6696

= 108 / 248

= 108

Step2:

LCM(4, 50) = 100

GCD(4, 50) = ( 4 x 50 ) / 100

= 4 / 50

= 4

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 108, 248, 50, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 515, 75, 972
• GCD of 547, 516, 28, 457
• GCD of 338, 465, 42, 999
• GCD of 313, 813, 19, 989
• GCD of 805, 565, 99, 993

Given numbers are 108, 248, 50, 264
The greatest common divisor of numbers 108, 248, 50, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 248, 50, 264 is 2.

1. What is the GCD of 108, 248, 50, 264?

GCD of given numbers 108, 248, 50, 264 is 2

2. How to calculate the greatest common divisor of 108, 248, 50, 264?

We can find the highest common divisor of 108, 248, 50, 264 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 108, 248, 50, 264 i.e 2.

3. How can I use the GCD of 108, 248, 50, 264Calculator?

Out the numbers 108, 248, 50, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.