GCD of 685, 800, 540, 830 Calculator

Given Input numbers are 685, 800, 540, 830

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (685, 800, 540, 830) = 5.

Given numbers are 685, 800, 540, 830

The list of prime factors of all numbers are

Prime factors of 685 are 5 x 137

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

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 5¹

Therefore, GCD of 685, 800, 540, 830 is 5.

Given numbers are 685, 800, 540, 830

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

Apply this formula for all numbers.

Step1:

LCM(685, 800) = 109600

GCD(685, 800) = ( 685 x 800 ) / 109600

= 685 / 800

= 685

Step2:

LCM(5, 540) = 540

GCD(5, 540) = ( 5 x 540 ) / 540

= 5 / 540

= 5

Step3:

LCM(5, 830) = 830

GCD(5, 830) = ( 5 x 830 ) / 830

= 5 / 830

= 5

So, Greatest Common Divisor of 685, 800, 540, 830 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 263, 442, 147
• GCD of 671, 150, 341, 323
• GCD of 423, 885, 949, 577
• GCD of 765, 357, 667, 967
• GCD of 607, 605, 418, 435

Given numbers are 685, 800, 540, 830
The greatest common divisor of numbers 685, 800, 540, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 800, 540, 830 is 5.

1. What is the GCD of 685, 800, 540, 830?

GCD of given numbers 685, 800, 540, 830 is 5

2. How to calculate the greatest common divisor of 685, 800, 540, 830?

We can find the highest common divisor of 685, 800, 540, 830 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 685, 800, 540, 830 i.e 5.

3. How can I use the GCD of 685, 800, 540, 830Calculator?

Out the numbers 685, 800, 540, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.