GCD of 604, 400, 860, 800 Calculator

Given Input numbers are 604, 400, 860, 800

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

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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 (604, 400, 860, 800) = 4.

Given numbers are 604, 400, 860, 800

The list of prime factors of all numbers are

Prime factors of 604 are 2 x 2 x 151

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 860 are 2 x 2 x 5 x 43

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

The highest common occurrence is 2²

Therefore, GCD of 604, 400, 860, 800 is 4.

Given numbers are 604, 400, 860, 800

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

Apply this formula for all numbers.

Step1:

LCM(604, 400) = 60400

GCD(604, 400) = ( 604 x 400 ) / 60400

= 604 / 400

= 604

Step2:

LCM(4, 860) = 860

GCD(4, 860) = ( 4 x 860 ) / 860

= 4 / 860

= 4

Step3:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

So, Greatest Common Divisor of 604, 400, 860, 800 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 943, 586, 921
• GCD of 803, 771, 264, 164
• GCD of 447, 926, 640, 138
• GCD of 789, 633, 744, 959
• GCD of 318, 508, 362, 283

Given numbers are 604, 400, 860, 800
The greatest common divisor of numbers 604, 400, 860, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 400, 860, 800 is 4.

1. What is the GCD of 604, 400, 860, 800?

GCD of given numbers 604, 400, 860, 800 is 4

2. How to calculate the greatest common divisor of 604, 400, 860, 800?

We can find the highest common divisor of 604, 400, 860, 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 604, 400, 860, 800 i.e 4.

3. How can I use the GCD of 604, 400, 860, 800Calculator?

Out the numbers 604, 400, 860, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.