GCD of 800, 325, 41, 978 Calculator

Given Input numbers are 800, 325, 41, 978

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 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 41 :

The positive integer divisors of 41 that completely divides 41 are.

1, 41

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (800, 325, 41, 978) = 1.

Given numbers are 800, 325, 41, 978

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 325 are 5 x 5 x 13

Prime factors of 41 are 41

Prime factors of 978 are 2 x 3 x 163

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

Given numbers are 800, 325, 41, 978

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

Apply this formula for all numbers.

Step1:

LCM(800, 325) = 10400

GCD(800, 325) = ( 800 x 325 ) / 10400

= 800 / 325

= 800

Step2:

LCM(25, 41) = 1025

GCD(25, 41) = ( 25 x 41 ) / 1025

= 25 / 41

= 25

Step3:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

So, Greatest Common Divisor of 800, 325, 41, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 156, 68, 323
• GCD of 464, 663, 51, 919
• GCD of 679, 641, 11, 530
• GCD of 177, 960, 51, 473
• GCD of 819, 611, 29, 493

Given numbers are 800, 325, 41, 978
The greatest common divisor of numbers 800, 325, 41, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 325, 41, 978 is 1.

1. What is the GCD of 800, 325, 41, 978?

GCD of given numbers 800, 325, 41, 978 is 1

2. How to calculate the greatest common divisor of 800, 325, 41, 978?

We can find the highest common divisor of 800, 325, 41, 978 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, 325, 41, 978 i.e 1.

3. How can I use the GCD of 800, 325, 41, 978Calculator?

Out the numbers 800, 325, 41, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.