GCD of 296, 128, 138, 558 Calculator

Given Input numbers are 296, 128, 138, 558

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 138 :

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

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (296, 128, 138, 558) = 2.

Given numbers are 296, 128, 138, 558

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 138 are 2 x 3 x 23

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 296, 128, 138, 558 is 2.

Given numbers are 296, 128, 138, 558

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

Apply this formula for all numbers.

Step1:

LCM(296, 128) = 4736

GCD(296, 128) = ( 296 x 128 ) / 4736

= 296 / 128

= 296

Step2:

LCM(8, 138) = 552

GCD(8, 138) = ( 8 x 138 ) / 552

= 8 / 138

= 8

Step3:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

So, Greatest Common Divisor of 296, 128, 138, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 836, 665, 816
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Given numbers are 296, 128, 138, 558
The greatest common divisor of numbers 296, 128, 138, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 128, 138, 558 is 2.

1. What is the GCD of 296, 128, 138, 558?

GCD of given numbers 296, 128, 138, 558 is 2

2. How to calculate the greatest common divisor of 296, 128, 138, 558?

We can find the highest common divisor of 296, 128, 138, 558 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 296, 128, 138, 558 i.e 2.

3. How can I use the GCD of 296, 128, 138, 558Calculator?

Out the numbers 296, 128, 138, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.