GCD of 308, 109, 825 Calculator

Given Input numbers are 308, 109, 825

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

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 (308, 109, 825) = 1.

Given numbers are 308, 109, 825

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 109 are 109

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

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

Given numbers are 308, 109, 825

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

Apply this formula for all numbers.

Step1:

LCM(308, 109) = 33572

GCD(308, 109) = ( 308 x 109 ) / 33572

= 308 / 109

= 308

Step2:

LCM(1, 825) = 825

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

= 1 / 825

= 1

So, Greatest Common Divisor of 308, 109, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 317, 589
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• GCD of 633, 390, 629
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Given numbers are 308, 109, 825
The greatest common divisor of numbers 308, 109, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 109, 825 is 1.

1. What is the GCD of 308, 109, 825?

GCD of given numbers 308, 109, 825 is 1

2. How to calculate the greatest common divisor of 308, 109, 825?

We can find the highest common divisor of 308, 109, 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 308, 109, 825 i.e 1.

3. How can I use the GCD of 308, 109, 825Calculator?

Out the numbers 308, 109, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.