GCD of 800, 716, 906, 968 Calculator

Given Input numbers are 800, 716, 906, 968

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 716 :

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

1, 2, 4, 179, 358, 716

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

GCD of numbers is the greatest common divisor

So, the GCD (800, 716, 906, 968) = 2.

Given numbers are 800, 716, 906, 968

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 716 are 2 x 2 x 179

Prime factors of 906 are 2 x 3 x 151

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 800, 716, 906, 968 is 2.

Given numbers are 800, 716, 906, 968

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

Apply this formula for all numbers.

Step1:

LCM(800, 716) = 143200

GCD(800, 716) = ( 800 x 716 ) / 143200

= 800 / 716

= 800

Step2:

LCM(4, 906) = 1812

GCD(4, 906) = ( 4 x 906 ) / 1812

= 4 / 906

= 4

Step3:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

So, Greatest Common Divisor of 800, 716, 906, 968 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 587, 406, 868
• GCD of 338, 487, 589, 686
• GCD of 586, 904, 493, 991
• GCD of 628, 582, 323, 334
• GCD of 114, 911, 184, 594

Given numbers are 800, 716, 906, 968
The greatest common divisor of numbers 800, 716, 906, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 716, 906, 968 is 2.

1. What is the GCD of 800, 716, 906, 968?

GCD of given numbers 800, 716, 906, 968 is 2

2. How to calculate the greatest common divisor of 800, 716, 906, 968?

We can find the highest common divisor of 800, 716, 906, 968 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 800, 716, 906, 968 i.e 2.

3. How can I use the GCD of 800, 716, 906, 968Calculator?

Out the numbers 800, 716, 906, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.