GCD of 800, 796, 109, 268 Calculator

Given Input numbers are 800, 796, 109, 268

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 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (800, 796, 109, 268) = 1.

Given numbers are 800, 796, 109, 268

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 796 are 2 x 2 x 199

Prime factors of 109 are 109

Prime factors of 268 are 2 x 2 x 67

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 800, 796, 109, 268

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

Apply this formula for all numbers.

Step1:

LCM(800, 796) = 159200

GCD(800, 796) = ( 800 x 796 ) / 159200

= 800 / 796

= 800

Step2:

LCM(4, 109) = 436

GCD(4, 109) = ( 4 x 109 ) / 436

= 4 / 109

= 4

Step3:

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

= 1 / 268

= 1

So, Greatest Common Divisor of 800, 796, 109, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 493, 575, 651
• GCD of 639, 147, 688, 296
• GCD of 150, 926, 285, 720
• GCD of 170, 589, 435, 994
• GCD of 522, 805, 779, 106

Given numbers are 800, 796, 109, 268
The greatest common divisor of numbers 800, 796, 109, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 796, 109, 268 is 1.

1. What is the GCD of 800, 796, 109, 268?

GCD of given numbers 800, 796, 109, 268 is 1

2. How to calculate the greatest common divisor of 800, 796, 109, 268?

We can find the highest common divisor of 800, 796, 109, 268 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, 796, 109, 268 i.e 1.

3. How can I use the GCD of 800, 796, 109, 268Calculator?

Out the numbers 800, 796, 109, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.