GCD of 978, 433, 825, 400 Calculator

Given Input numbers are 978, 433, 825, 400

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

Divisors of 978 :

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

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

Divisors of 433 :

The positive integer divisors of 433 that completely divides 433 are.

1, 433

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (978, 433, 825, 400) = 1.

Given numbers are 978, 433, 825, 400

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 433 are 433

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 978, 433, 825, 400

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

Apply this formula for all numbers.

Step1:

LCM(978, 433) = 423474

GCD(978, 433) = ( 978 x 433 ) / 423474

= 978 / 433

= 978

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 978, 433, 825, 400 is 1

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Given numbers are 978, 433, 825, 400
The greatest common divisor of numbers 978, 433, 825, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 433, 825, 400 is 1.

1. What is the GCD of 978, 433, 825, 400?

GCD of given numbers 978, 433, 825, 400 is 1

2. How to calculate the greatest common divisor of 978, 433, 825, 400?

We can find the highest common divisor of 978, 433, 825, 400 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 978, 433, 825, 400 i.e 1.

3. How can I use the GCD of 978, 433, 825, 400Calculator?

Out the numbers 978, 433, 825, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.