GCD of 488, 661, 749, 225 Calculator

Given Input numbers are 488, 661, 749, 225

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

Divisors of 488 :

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

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

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

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 (488, 661, 749, 225) = 1.

Given numbers are 488, 661, 749, 225

The list of prime factors of all numbers are

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

Prime factors of 661 are 661

Prime factors of 749 are 7 x 107

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 488, 661, 749, 225

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

Apply this formula for all numbers.

Step1:

LCM(488, 661) = 322568

GCD(488, 661) = ( 488 x 661 ) / 322568

= 488 / 661

= 488

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 225) = 225

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

= 1 / 225

= 1

So, Greatest Common Divisor of 488, 661, 749, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 111, 350, 572
• GCD of 463, 438, 499, 839
• GCD of 320, 184, 495, 962
• GCD of 126, 297, 241, 185
• GCD of 914, 784, 328, 624

Given numbers are 488, 661, 749, 225
The greatest common divisor of numbers 488, 661, 749, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 661, 749, 225 is 1.

1. What is the GCD of 488, 661, 749, 225?

GCD of given numbers 488, 661, 749, 225 is 1

2. How to calculate the greatest common divisor of 488, 661, 749, 225?

We can find the highest common divisor of 488, 661, 749, 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 488, 661, 749, 225 i.e 1.

3. How can I use the GCD of 488, 661, 749, 225Calculator?

Out the numbers 488, 661, 749, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.