GCD of 825, 584, 978, 308 Calculator

Given Input numbers are 825, 584, 978, 308

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

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 978 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (825, 584, 978, 308) = 1.

Given numbers are 825, 584, 978, 308

The list of prime factors of all numbers are

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

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 978 are 2 x 3 x 163

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

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

Given numbers are 825, 584, 978, 308

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

Apply this formula for all numbers.

Step1:

LCM(825, 584) = 481800

GCD(825, 584) = ( 825 x 584 ) / 481800

= 825 / 584

= 825

Step2:

LCM(1, 978) = 978

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

= 1 / 978

= 1

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 825, 584, 978, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 749, 838, 557
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• GCD of 233, 497, 949, 785

Given numbers are 825, 584, 978, 308
The greatest common divisor of numbers 825, 584, 978, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 584, 978, 308 is 1.

1. What is the GCD of 825, 584, 978, 308?

GCD of given numbers 825, 584, 978, 308 is 1

2. How to calculate the greatest common divisor of 825, 584, 978, 308?

We can find the highest common divisor of 825, 584, 978, 308 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 825, 584, 978, 308 i.e 1.

3. How can I use the GCD of 825, 584, 978, 308Calculator?

Out the numbers 825, 584, 978, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.