GCD of 642, 316, 214, 800 Calculator

Given Input numbers are 642, 316, 214, 800

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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

GCD of numbers is the greatest common divisor

So, the GCD (642, 316, 214, 800) = 2.

Given numbers are 642, 316, 214, 800

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 316 are 2 x 2 x 79

Prime factors of 214 are 2 x 107

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

The highest common occurrence is 2¹

Therefore, GCD of 642, 316, 214, 800 is 2.

Given numbers are 642, 316, 214, 800

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

Apply this formula for all numbers.

Step1:

LCM(642, 316) = 101436

GCD(642, 316) = ( 642 x 316 ) / 101436

= 642 / 316

= 642

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 642, 316, 214, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 174, 683, 321
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Given numbers are 642, 316, 214, 800
The greatest common divisor of numbers 642, 316, 214, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 316, 214, 800 is 2.

1. What is the GCD of 642, 316, 214, 800?

GCD of given numbers 642, 316, 214, 800 is 2

2. How to calculate the greatest common divisor of 642, 316, 214, 800?

We can find the highest common divisor of 642, 316, 214, 800 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 642, 316, 214, 800 i.e 2.

3. How can I use the GCD of 642, 316, 214, 800Calculator?

Out the numbers 642, 316, 214, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.