GCD of 978, 399, 825 Calculator

Given Input numbers are 978, 399, 825

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

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

GCD of numbers is the greatest common divisor

So, the GCD (978, 399, 825) = 3.

Given numbers are 978, 399, 825

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 399 are 3 x 7 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 978, 399, 825 is 3.

Given numbers are 978, 399, 825

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

Apply this formula for all numbers.

Step1:

LCM(978, 399) = 130074

GCD(978, 399) = ( 978 x 399 ) / 130074

= 978 / 399

= 978

Step2:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

So, Greatest Common Divisor of 978, 399, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 279, 973
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Given numbers are 978, 399, 825
The greatest common divisor of numbers 978, 399, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 399, 825 is 3.

1. What is the GCD of 978, 399, 825?

GCD of given numbers 978, 399, 825 is 3

2. How to calculate the greatest common divisor of 978, 399, 825?

We can find the highest common divisor of 978, 399, 825 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, 399, 825 i.e 3.

3. How can I use the GCD of 978, 399, 825Calculator?

Out the numbers 978, 399, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.