GCD of 148, 106, 558, 238 Calculator

Given Input numbers are 148, 106, 558, 238

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (148, 106, 558, 238) = 2.

Given numbers are 148, 106, 558, 238

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 106 are 2 x 53

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

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 148, 106, 558, 238 is 2.

Given numbers are 148, 106, 558, 238

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

Apply this formula for all numbers.

Step1:

LCM(148, 106) = 7844

GCD(148, 106) = ( 148 x 106 ) / 7844

= 148 / 106

= 148

Step2:

LCM(2, 558) = 558

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

= 2 / 558

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 148, 106, 558, 238 is 2

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Given numbers are 148, 106, 558, 238
The greatest common divisor of numbers 148, 106, 558, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 106, 558, 238 is 2.

1. What is the GCD of 148, 106, 558, 238?

GCD of given numbers 148, 106, 558, 238 is 2

2. How to calculate the greatest common divisor of 148, 106, 558, 238?

We can find the highest common divisor of 148, 106, 558, 238 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 148, 106, 558, 238 i.e 2.

3. How can I use the GCD of 148, 106, 558, 238Calculator?

Out the numbers 148, 106, 558, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.