GCD of 800, 361, 76, 252 Calculator

Given Input numbers are 800, 361, 76, 252

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (800, 361, 76, 252) = 1.

Given numbers are 800, 361, 76, 252

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 361 are 19 x 19

Prime factors of 76 are 2 x 2 x 19

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

Given numbers are 800, 361, 76, 252

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

Apply this formula for all numbers.

Step1:

LCM(800, 361) = 288800

GCD(800, 361) = ( 800 x 361 ) / 288800

= 800 / 361

= 800

Step2:

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

= 1 / 76

= 1

Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1

So, Greatest Common Divisor of 800, 361, 76, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 856, 40, 601
• GCD of 496, 701, 27, 413
• GCD of 200, 554, 96, 436
• GCD of 987, 700, 70, 459
• GCD of 474, 971, 37, 429

Given numbers are 800, 361, 76, 252
The greatest common divisor of numbers 800, 361, 76, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 361, 76, 252 is 1.

1. What is the GCD of 800, 361, 76, 252?

GCD of given numbers 800, 361, 76, 252 is 1

2. How to calculate the greatest common divisor of 800, 361, 76, 252?

We can find the highest common divisor of 800, 361, 76, 252 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, 361, 76, 252 i.e 1.

3. How can I use the GCD of 800, 361, 76, 252Calculator?

Out the numbers 800, 361, 76, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.