GCD of 800, 126, 314, 646 Calculator

Given Input numbers are 800, 126, 314, 646

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 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (800, 126, 314, 646) = 2.

Given numbers are 800, 126, 314, 646

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 126 are 2 x 3 x 3 x 7

Prime factors of 314 are 2 x 157

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 2¹

Therefore, GCD of 800, 126, 314, 646 is 2.

Given numbers are 800, 126, 314, 646

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

Apply this formula for all numbers.

Step1:

LCM(800, 126) = 50400

GCD(800, 126) = ( 800 x 126 ) / 50400

= 800 / 126

= 800

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

So, Greatest Common Divisor of 800, 126, 314, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 130, 990, 193
• GCD of 542, 325, 567, 268
• GCD of 533, 628, 684, 146
• GCD of 825, 944, 512, 514
• GCD of 568, 456, 736, 313

Given numbers are 800, 126, 314, 646
The greatest common divisor of numbers 800, 126, 314, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 126, 314, 646 is 2.

1. What is the GCD of 800, 126, 314, 646?

GCD of given numbers 800, 126, 314, 646 is 2

2. How to calculate the greatest common divisor of 800, 126, 314, 646?

We can find the highest common divisor of 800, 126, 314, 646 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, 126, 314, 646 i.e 2.

3. How can I use the GCD of 800, 126, 314, 646Calculator?

Out the numbers 800, 126, 314, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.