GCD of 800, 975, 699, 228 Calculator

Given Input numbers are 800, 975, 699, 228

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 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (800, 975, 699, 228) = 1.

Given numbers are 800, 975, 699, 228

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 975 are 3 x 5 x 5 x 13

Prime factors of 699 are 3 x 233

Prime factors of 228 are 2 x 2 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 800, 975, 699, 228

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

Apply this formula for all numbers.

Step1:

LCM(800, 975) = 31200

GCD(800, 975) = ( 800 x 975 ) / 31200

= 800 / 975

= 800

Step2:

LCM(25, 699) = 17475

GCD(25, 699) = ( 25 x 699 ) / 17475

= 25 / 699

= 25

Step3:

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

= 1 / 228

= 1

So, Greatest Common Divisor of 800, 975, 699, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 312, 850, 761
• GCD of 829, 464, 554, 891
• GCD of 100, 781, 356, 341
• GCD of 609, 833, 278, 481
• GCD of 227, 259, 525, 359

Given numbers are 800, 975, 699, 228
The greatest common divisor of numbers 800, 975, 699, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 975, 699, 228 is 1.

1. What is the GCD of 800, 975, 699, 228?

GCD of given numbers 800, 975, 699, 228 is 1

2. How to calculate the greatest common divisor of 800, 975, 699, 228?

We can find the highest common divisor of 800, 975, 699, 228 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, 975, 699, 228 i.e 1.

3. How can I use the GCD of 800, 975, 699, 228Calculator?

Out the numbers 800, 975, 699, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.