GCD of 734, 320, 297, 225 Calculator

Given Input numbers are 734, 320, 297, 225

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

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 (734, 320, 297, 225) = 1.

Given numbers are 734, 320, 297, 225

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 297 are 3 x 3 x 3 x 11

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 734, 320, 297, 225

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

Apply this formula for all numbers.

Step1:

LCM(734, 320) = 117440

GCD(734, 320) = ( 734 x 320 ) / 117440

= 734 / 320

= 734

Step2:

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

= 2 / 297

= 2

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 734, 320, 297, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 377, 725, 706
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Given numbers are 734, 320, 297, 225
The greatest common divisor of numbers 734, 320, 297, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 320, 297, 225 is 1.

1. What is the GCD of 734, 320, 297, 225?

GCD of given numbers 734, 320, 297, 225 is 1

2. How to calculate the greatest common divisor of 734, 320, 297, 225?

We can find the highest common divisor of 734, 320, 297, 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 734, 320, 297, 225 i.e 1.

3. How can I use the GCD of 734, 320, 297, 225Calculator?

Out the numbers 734, 320, 297, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.