GCD of 724, 614, 394, 800 Calculator

Given Input numbers are 724, 614, 394, 800

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

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 (724, 614, 394, 800) = 2.

Given numbers are 724, 614, 394, 800

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 614 are 2 x 307

Prime factors of 394 are 2 x 197

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

The highest common occurrence is 2¹

Therefore, GCD of 724, 614, 394, 800 is 2.

Given numbers are 724, 614, 394, 800

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

Apply this formula for all numbers.

Step1:

LCM(724, 614) = 222268

GCD(724, 614) = ( 724 x 614 ) / 222268

= 724 / 614

= 724

Step2:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

Step3:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 724, 614, 394, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 422, 893, 684
• GCD of 464, 971, 384, 449
• GCD of 448, 106, 795, 797
• GCD of 423, 528, 180, 393
• GCD of 816, 423, 796, 875

Given numbers are 724, 614, 394, 800
The greatest common divisor of numbers 724, 614, 394, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 614, 394, 800 is 2.

1. What is the GCD of 724, 614, 394, 800?

GCD of given numbers 724, 614, 394, 800 is 2

2. How to calculate the greatest common divisor of 724, 614, 394, 800?

We can find the highest common divisor of 724, 614, 394, 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 724, 614, 394, 800 i.e 2.

3. How can I use the GCD of 724, 614, 394, 800Calculator?

Out the numbers 724, 614, 394, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.