GCD of 992, 294, 390, 225 Calculator

Given Input numbers are 992, 294, 390, 225

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

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (992, 294, 390, 225) = 1.

Given numbers are 992, 294, 390, 225

The list of prime factors of all numbers are

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 992, 294, 390, 225

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

Apply this formula for all numbers.

Step1:

LCM(992, 294) = 145824

GCD(992, 294) = ( 992 x 294 ) / 145824

= 992 / 294

= 992

Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

Step3:

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

= 2 / 225

= 2

So, Greatest Common Divisor of 992, 294, 390, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 527, 789, 527
• GCD of 703, 524, 359, 683
• GCD of 931, 863, 605, 133
• GCD of 807, 903, 265, 932
• GCD of 357, 851, 986, 697

Given numbers are 992, 294, 390, 225
The greatest common divisor of numbers 992, 294, 390, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 294, 390, 225 is 1.

1. What is the GCD of 992, 294, 390, 225?

GCD of given numbers 992, 294, 390, 225 is 1

2. How to calculate the greatest common divisor of 992, 294, 390, 225?

We can find the highest common divisor of 992, 294, 390, 225 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 992, 294, 390, 225 i.e 1.

3. How can I use the GCD of 992, 294, 390, 225Calculator?

Out the numbers 992, 294, 390, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.