GCD of 800, 694, 248, 598 Calculator

Given Input numbers are 800, 694, 248, 598

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

GCD of numbers is the greatest common divisor

So, the GCD (800, 694, 248, 598) = 2.

Given numbers are 800, 694, 248, 598

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 694 are 2 x 347

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 598 are 2 x 13 x 23

The highest common occurrence is 2¹

Therefore, GCD of 800, 694, 248, 598 is 2.

Given numbers are 800, 694, 248, 598

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

Apply this formula for all numbers.

Step1:

LCM(800, 694) = 277600

GCD(800, 694) = ( 800 x 694 ) / 277600

= 800 / 694

= 800

Step2:

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

= 2 / 248

= 2

Step3:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

So, Greatest Common Divisor of 800, 694, 248, 598 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 592, 382, 243
• GCD of 582, 374, 785, 833
• GCD of 831, 135, 596, 262
• GCD of 856, 407, 492, 745
• GCD of 746, 439, 297, 967

Given numbers are 800, 694, 248, 598
The greatest common divisor of numbers 800, 694, 248, 598 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 694, 248, 598 is 2.

1. What is the GCD of 800, 694, 248, 598?

GCD of given numbers 800, 694, 248, 598 is 2

2. How to calculate the greatest common divisor of 800, 694, 248, 598?

We can find the highest common divisor of 800, 694, 248, 598 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, 694, 248, 598 i.e 2.

3. How can I use the GCD of 800, 694, 248, 598Calculator?

Out the numbers 800, 694, 248, 598 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.