GCD of 716, 896, 370, 310 Calculator

Given Input numbers are 716, 896, 370, 310

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

Divisors of 716 :

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

1, 2, 4, 179, 358, 716

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (716, 896, 370, 310) = 2.

Given numbers are 716, 896, 370, 310

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 370 are 2 x 5 x 37

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 716, 896, 370, 310 is 2.

Given numbers are 716, 896, 370, 310

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

Apply this formula for all numbers.

Step1:

LCM(716, 896) = 160384

GCD(716, 896) = ( 716 x 896 ) / 160384

= 716 / 896

= 716

Step2:

LCM(4, 370) = 740

GCD(4, 370) = ( 4 x 370 ) / 740

= 4 / 370

= 4

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 716, 896, 370, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 137, 317, 736
• GCD of 315, 814, 185, 878
• GCD of 928, 487, 108, 822
• GCD of 106, 239, 808, 996
• GCD of 350, 411, 682, 290

Given numbers are 716, 896, 370, 310
The greatest common divisor of numbers 716, 896, 370, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 896, 370, 310 is 2.

1. What is the GCD of 716, 896, 370, 310?

GCD of given numbers 716, 896, 370, 310 is 2

2. How to calculate the greatest common divisor of 716, 896, 370, 310?

We can find the highest common divisor of 716, 896, 370, 310 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 716, 896, 370, 310 i.e 2.

3. How can I use the GCD of 716, 896, 370, 310Calculator?

Out the numbers 716, 896, 370, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.