GCD of 461, 800, 108, 947 Calculator

Given Input numbers are 461, 800, 108, 947

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

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947

GCD of numbers is the greatest common divisor

So, the GCD (461, 800, 108, 947) = 1.

Given numbers are 461, 800, 108, 947

The list of prime factors of all numbers are

Prime factors of 461 are 461

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

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 947 are 947

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

Given numbers are 461, 800, 108, 947

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

Apply this formula for all numbers.

Step1:

LCM(461, 800) = 368800

GCD(461, 800) = ( 461 x 800 ) / 368800

= 461 / 800

= 461

Step2:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

Step3:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1

So, Greatest Common Divisor of 461, 800, 108, 947 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 223, 330, 951
• GCD of 554, 401, 375, 131
• GCD of 263, 294, 420, 846
• GCD of 711, 930, 182, 381
• GCD of 828, 681, 631, 295

Given numbers are 461, 800, 108, 947
The greatest common divisor of numbers 461, 800, 108, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 800, 108, 947 is 1.

1. What is the GCD of 461, 800, 108, 947?

GCD of given numbers 461, 800, 108, 947 is 1

2. How to calculate the greatest common divisor of 461, 800, 108, 947?

We can find the highest common divisor of 461, 800, 108, 947 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 461, 800, 108, 947 i.e 1.

3. How can I use the GCD of 461, 800, 108, 947Calculator?

Out the numbers 461, 800, 108, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.