GCD of 138, 176, 52, 255 Calculator

Given Input numbers are 138, 176, 52, 255

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

Divisors of 138 :

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

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

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

GCD of numbers is the greatest common divisor

So, the GCD (138, 176, 52, 255) = 1.

Given numbers are 138, 176, 52, 255

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 52 are 2 x 2 x 13

Prime factors of 255 are 3 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 138, 176, 52, 255

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

Apply this formula for all numbers.

Step1:

LCM(138, 176) = 12144

GCD(138, 176) = ( 138 x 176 ) / 12144

= 138 / 176

= 138

Step2:

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

= 2 / 52

= 2

Step3:

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

= 2 / 255

= 2

So, Greatest Common Divisor of 138, 176, 52, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 601, 32, 387
• GCD of 467, 279, 94, 713
• GCD of 202, 216, 61, 319
• GCD of 712, 108, 17, 918
• GCD of 124, 642, 10, 966

Given numbers are 138, 176, 52, 255
The greatest common divisor of numbers 138, 176, 52, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 176, 52, 255 is 1.

1. What is the GCD of 138, 176, 52, 255?

GCD of given numbers 138, 176, 52, 255 is 1

2. How to calculate the greatest common divisor of 138, 176, 52, 255?

We can find the highest common divisor of 138, 176, 52, 255 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 138, 176, 52, 255 i.e 1.

3. How can I use the GCD of 138, 176, 52, 255Calculator?

Out the numbers 138, 176, 52, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.