GCD of 152, 112, 338, 176 Calculator

Given Input numbers are 152, 112, 338, 176

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 176 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (152, 112, 338, 176) = 2.

Given numbers are 152, 112, 338, 176

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 338 are 2 x 13 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 152, 112, 338, 176 is 2.

Given numbers are 152, 112, 338, 176

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

Apply this formula for all numbers.

Step1:

LCM(152, 112) = 2128

GCD(152, 112) = ( 152 x 112 ) / 2128

= 152 / 112

= 152

Step2:

LCM(8, 338) = 1352

GCD(8, 338) = ( 8 x 338 ) / 1352

= 8 / 338

= 8

Step3:

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

= 2 / 176

= 2

So, Greatest Common Divisor of 152, 112, 338, 176 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 909, 869, 609, 869
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Given numbers are 152, 112, 338, 176
The greatest common divisor of numbers 152, 112, 338, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 112, 338, 176 is 2.

1. What is the GCD of 152, 112, 338, 176?

GCD of given numbers 152, 112, 338, 176 is 2

2. How to calculate the greatest common divisor of 152, 112, 338, 176?

We can find the highest common divisor of 152, 112, 338, 176 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 152, 112, 338, 176 i.e 2.

3. How can I use the GCD of 152, 112, 338, 176Calculator?

Out the numbers 152, 112, 338, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.