GCD of 800, 146, 386, 538 Calculator

Given Input numbers are 800, 146, 386, 538

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 386 :

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

1, 2, 193, 386

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (800, 146, 386, 538) = 2.

Given numbers are 800, 146, 386, 538

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 146 are 2 x 73

Prime factors of 386 are 2 x 193

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 800, 146, 386, 538 is 2.

Given numbers are 800, 146, 386, 538

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

Apply this formula for all numbers.

Step1:

LCM(800, 146) = 58400

GCD(800, 146) = ( 800 x 146 ) / 58400

= 800 / 146

= 800

Step2:

LCM(2, 386) = 386

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

= 2 / 386

= 2

Step3:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

So, Greatest Common Divisor of 800, 146, 386, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 673, 543, 532
• GCD of 256, 380, 138, 936
• GCD of 219, 880, 950, 919
• GCD of 774, 385, 622, 265
• GCD of 649, 492, 533, 249

Given numbers are 800, 146, 386, 538
The greatest common divisor of numbers 800, 146, 386, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 146, 386, 538 is 2.

1. What is the GCD of 800, 146, 386, 538?

GCD of given numbers 800, 146, 386, 538 is 2

2. How to calculate the greatest common divisor of 800, 146, 386, 538?

We can find the highest common divisor of 800, 146, 386, 538 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, 146, 386, 538 i.e 2.

3. How can I use the GCD of 800, 146, 386, 538Calculator?

Out the numbers 800, 146, 386, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.