GCD of 284, 349, 746, 225 Calculator

Given Input numbers are 284, 349, 746, 225

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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 (284, 349, 746, 225) = 1.

Given numbers are 284, 349, 746, 225

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 349 are 349

Prime factors of 746 are 2 x 373

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 284, 349, 746, 225

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

Apply this formula for all numbers.

Step1:

LCM(284, 349) = 99116

GCD(284, 349) = ( 284 x 349 ) / 99116

= 284 / 349

= 284

Step2:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1

Step3:

LCM(1, 225) = 225

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

= 1 / 225

= 1

So, Greatest Common Divisor of 284, 349, 746, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 717, 380, 981
• GCD of 609, 188, 384, 586
• GCD of 504, 760, 960, 352
• GCD of 142, 511, 355, 271
• GCD of 725, 741, 144, 153

Given numbers are 284, 349, 746, 225
The greatest common divisor of numbers 284, 349, 746, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 349, 746, 225 is 1.

1. What is the GCD of 284, 349, 746, 225?

GCD of given numbers 284, 349, 746, 225 is 1

2. How to calculate the greatest common divisor of 284, 349, 746, 225?

We can find the highest common divisor of 284, 349, 746, 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 284, 349, 746, 225 i.e 1.

3. How can I use the GCD of 284, 349, 746, 225Calculator?

Out the numbers 284, 349, 746, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.