GCD of 550, 138, 264, 338 Calculator

Given Input numbers are 550, 138, 264, 338

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 138 :

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

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

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (550, 138, 264, 338) = 2.

Given numbers are 550, 138, 264, 338

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 550, 138, 264, 338 is 2.

Given numbers are 550, 138, 264, 338

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

Apply this formula for all numbers.

Step1:

LCM(550, 138) = 37950

GCD(550, 138) = ( 550 x 138 ) / 37950

= 550 / 138

= 550

Step2:

LCM(2, 264) = 264

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

= 2 / 264

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 550, 138, 264, 338 is 2

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Given numbers are 550, 138, 264, 338
The greatest common divisor of numbers 550, 138, 264, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 138, 264, 338 is 2.

1. What is the GCD of 550, 138, 264, 338?

GCD of given numbers 550, 138, 264, 338 is 2

2. How to calculate the greatest common divisor of 550, 138, 264, 338?

We can find the highest common divisor of 550, 138, 264, 338 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 550, 138, 264, 338 i.e 2.

3. How can I use the GCD of 550, 138, 264, 338Calculator?

Out the numbers 550, 138, 264, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.