GCD of 225, 312, 488, 148 Calculator

Given Input numbers are 225, 312, 488, 148

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 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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (225, 312, 488, 148) = 1.

Given numbers are 225, 312, 488, 148

The list of prime factors of all numbers are

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

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

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 148 are 2 x 2 x 37

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

Given numbers are 225, 312, 488, 148

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

Apply this formula for all numbers.

Step1:

LCM(225, 312) = 23400

GCD(225, 312) = ( 225 x 312 ) / 23400

= 225 / 312

= 225

Step2:

LCM(3, 488) = 1464

GCD(3, 488) = ( 3 x 488 ) / 1464

= 3 / 488

= 3

Step3:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1

So, Greatest Common Divisor of 225, 312, 488, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 242, 917, 557
• GCD of 110, 293, 848, 136
• GCD of 280, 219, 457, 236
• GCD of 650, 377, 102, 434
• GCD of 411, 385, 883, 696

Given numbers are 225, 312, 488, 148
The greatest common divisor of numbers 225, 312, 488, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 312, 488, 148 is 1.

1. What is the GCD of 225, 312, 488, 148?

GCD of given numbers 225, 312, 488, 148 is 1

2. How to calculate the greatest common divisor of 225, 312, 488, 148?

We can find the highest common divisor of 225, 312, 488, 148 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, 312, 488, 148 i.e 1.

3. How can I use the GCD of 225, 312, 488, 148Calculator?

Out the numbers 225, 312, 488, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.