GCD of 800, 496, 350, 386 Calculator

Given Input numbers are 800, 496, 350, 386

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 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

GCD of numbers is the greatest common divisor

So, the GCD (800, 496, 350, 386) = 2.

Given numbers are 800, 496, 350, 386

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 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 386 are 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 800, 496, 350, 386 is 2.

Given numbers are 800, 496, 350, 386

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

Apply this formula for all numbers.

Step1:

LCM(800, 496) = 24800

GCD(800, 496) = ( 800 x 496 ) / 24800

= 800 / 496

= 800

Step2:

LCM(16, 350) = 2800

GCD(16, 350) = ( 16 x 350 ) / 2800

= 16 / 350

= 16

Step3:

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

= 2 / 386

= 2

So, Greatest Common Divisor of 800, 496, 350, 386 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 406, 854, 861
• GCD of 891, 829, 166, 559
• GCD of 720, 827, 821, 823
• GCD of 516, 979, 513, 587
• GCD of 692, 169, 947, 592

Given numbers are 800, 496, 350, 386
The greatest common divisor of numbers 800, 496, 350, 386 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 496, 350, 386 is 2.

1. What is the GCD of 800, 496, 350, 386?

GCD of given numbers 800, 496, 350, 386 is 2

2. How to calculate the greatest common divisor of 800, 496, 350, 386?

We can find the highest common divisor of 800, 496, 350, 386 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, 496, 350, 386 i.e 2.

3. How can I use the GCD of 800, 496, 350, 386Calculator?

Out the numbers 800, 496, 350, 386 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.