GCD of 672, 716, 42, 256 Calculator

Given Input numbers are 672, 716, 42, 256

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 256 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (672, 716, 42, 256) = 2.

Given numbers are 672, 716, 42, 256

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 716 are 2 x 2 x 179

Prime factors of 42 are 2 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 672, 716, 42, 256 is 2.

Given numbers are 672, 716, 42, 256

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

Apply this formula for all numbers.

Step1:

LCM(672, 716) = 120288

GCD(672, 716) = ( 672 x 716 ) / 120288

= 672 / 716

= 672

Step2:

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

= 4 / 42

= 4

Step3:

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

= 2 / 256

= 2

So, Greatest Common Divisor of 672, 716, 42, 256 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 932, 11, 495
• GCD of 211, 316, 11, 813
• GCD of 259, 401, 51, 529
• GCD of 677, 229, 78, 637
• GCD of 335, 648, 32, 288

Given numbers are 672, 716, 42, 256
The greatest common divisor of numbers 672, 716, 42, 256 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 716, 42, 256 is 2.

1. What is the GCD of 672, 716, 42, 256?

GCD of given numbers 672, 716, 42, 256 is 2

2. How to calculate the greatest common divisor of 672, 716, 42, 256?

We can find the highest common divisor of 672, 716, 42, 256 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 672, 716, 42, 256 i.e 2.

3. How can I use the GCD of 672, 716, 42, 256Calculator?

Out the numbers 672, 716, 42, 256 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.