GCD of 748, 718, 112, 656 Calculator

Given Input numbers are 748, 718, 112, 656

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (748, 718, 112, 656) = 2.

Given numbers are 748, 718, 112, 656

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 718 are 2 x 359

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

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 748, 718, 112, 656 is 2.

Given numbers are 748, 718, 112, 656

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

Apply this formula for all numbers.

Step1:

LCM(748, 718) = 268532

GCD(748, 718) = ( 748 x 718 ) / 268532

= 748 / 718

= 748

Step2:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

So, Greatest Common Divisor of 748, 718, 112, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 377, 784, 876
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• GCD of 159, 567, 369, 822

Given numbers are 748, 718, 112, 656
The greatest common divisor of numbers 748, 718, 112, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 718, 112, 656 is 2.

1. What is the GCD of 748, 718, 112, 656?

GCD of given numbers 748, 718, 112, 656 is 2

2. How to calculate the greatest common divisor of 748, 718, 112, 656?

We can find the highest common divisor of 748, 718, 112, 656 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 748, 718, 112, 656 i.e 2.

3. How can I use the GCD of 748, 718, 112, 656Calculator?

Out the numbers 748, 718, 112, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.