GCD of 256, 136, 216, 148 Calculator

Given Input numbers are 256, 136, 216, 148

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (256, 136, 216, 148) = 4.

Given numbers are 256, 136, 216, 148

The list of prime factors of all numbers are

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 148 are 2 x 2 x 37

The highest common occurrence is 2²

Therefore, GCD of 256, 136, 216, 148 is 4.

Given numbers are 256, 136, 216, 148

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

Apply this formula for all numbers.

Step1:

LCM(256, 136) = 4352

GCD(256, 136) = ( 256 x 136 ) / 4352

= 256 / 136

= 256

Step2:

LCM(8, 216) = 216

GCD(8, 216) = ( 8 x 216 ) / 216

= 8 / 216

= 8

Step3:

LCM(8, 148) = 296

GCD(8, 148) = ( 8 x 148 ) / 296

= 8 / 148

= 8

So, Greatest Common Divisor of 256, 136, 216, 148 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 844, 684, 885
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Given numbers are 256, 136, 216, 148
The greatest common divisor of numbers 256, 136, 216, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 136, 216, 148 is 4.

1. What is the GCD of 256, 136, 216, 148?

GCD of given numbers 256, 136, 216, 148 is 4

2. How to calculate the greatest common divisor of 256, 136, 216, 148?

We can find the highest common divisor of 256, 136, 216, 148 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 256, 136, 216, 148 i.e 4.

3. How can I use the GCD of 256, 136, 216, 148Calculator?

Out the numbers 256, 136, 216, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.