GCD of 225, 148, 842, 312 Calculator

Given Input numbers are 225, 148, 842, 312

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

Divisors of 225 :

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

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (225, 148, 842, 312) = 1.

Given numbers are 225, 148, 842, 312

The list of prime factors of all numbers are

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

Prime factors of 148 are 2 x 2 x 37

Prime factors of 842 are 2 x 421

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 225, 148, 842, 312

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

Apply this formula for all numbers.

Step1:

LCM(225, 148) = 33300

GCD(225, 148) = ( 225 x 148 ) / 33300

= 225 / 148

= 225

Step2:

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

= 1 / 842

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 225, 148, 842, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 406, 257, 185
• GCD of 665, 678, 991, 270
• GCD of 863, 706, 321, 902
• GCD of 217, 434, 339, 831
• GCD of 132, 567, 223, 563

Given numbers are 225, 148, 842, 312
The greatest common divisor of numbers 225, 148, 842, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 148, 842, 312 is 1.

1. What is the GCD of 225, 148, 842, 312?

GCD of given numbers 225, 148, 842, 312 is 1

2. How to calculate the greatest common divisor of 225, 148, 842, 312?

We can find the highest common divisor of 225, 148, 842, 312 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 225, 148, 842, 312 i.e 1.

3. How can I use the GCD of 225, 148, 842, 312Calculator?

Out the numbers 225, 148, 842, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.