GCD of 800, 600, 678, 545 Calculator

Given Input numbers are 800, 600, 678, 545

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545

GCD of numbers is the greatest common divisor

So, the GCD (800, 600, 678, 545) = 1.

Given numbers are 800, 600, 678, 545

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 678 are 2 x 3 x 113

Prime factors of 545 are 5 x 109

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

Given numbers are 800, 600, 678, 545

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

Apply this formula for all numbers.

Step1:

LCM(800, 600) = 2400

GCD(800, 600) = ( 800 x 600 ) / 2400

= 800 / 600

= 800

Step2:

LCM(200, 678) = 67800

GCD(200, 678) = ( 200 x 678 ) / 67800

= 200 / 678

= 200

Step3:

LCM(2, 545) = 1090

GCD(2, 545) = ( 2 x 545 ) / 1090

= 2 / 545

= 2

So, Greatest Common Divisor of 800, 600, 678, 545 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 891, 853, 954
• GCD of 911, 206, 320, 287
• GCD of 300, 585, 821, 267
• GCD of 885, 620, 848, 782
• GCD of 167, 640, 239, 233

Given numbers are 800, 600, 678, 545
The greatest common divisor of numbers 800, 600, 678, 545 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 600, 678, 545 is 1.

1. What is the GCD of 800, 600, 678, 545?

GCD of given numbers 800, 600, 678, 545 is 1

2. How to calculate the greatest common divisor of 800, 600, 678, 545?

We can find the highest common divisor of 800, 600, 678, 545 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, 600, 678, 545 i.e 1.

3. How can I use the GCD of 800, 600, 678, 545Calculator?

Out the numbers 800, 600, 678, 545 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.