GCD of 800, 998, 694, 788 Calculator

Given Input numbers are 800, 998, 694, 788

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 694 :

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

1, 2, 347, 694

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (800, 998, 694, 788) = 2.

Given numbers are 800, 998, 694, 788

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 998 are 2 x 499

Prime factors of 694 are 2 x 347

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 800, 998, 694, 788 is 2.

Given numbers are 800, 998, 694, 788

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

Apply this formula for all numbers.

Step1:

LCM(800, 998) = 399200

GCD(800, 998) = ( 800 x 998 ) / 399200

= 800 / 998

= 800

Step2:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

So, Greatest Common Divisor of 800, 998, 694, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 458, 429, 384
• GCD of 931, 648, 107, 557
• GCD of 731, 698, 147, 243
• GCD of 976, 706, 949, 913
• GCD of 937, 337, 245, 671

Given numbers are 800, 998, 694, 788
The greatest common divisor of numbers 800, 998, 694, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 998, 694, 788 is 2.

1. What is the GCD of 800, 998, 694, 788?

GCD of given numbers 800, 998, 694, 788 is 2

2. How to calculate the greatest common divisor of 800, 998, 694, 788?

We can find the highest common divisor of 800, 998, 694, 788 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, 998, 694, 788 i.e 2.

3. How can I use the GCD of 800, 998, 694, 788Calculator?

Out the numbers 800, 998, 694, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.