GCD of 225, 506, 880, 742 Calculator

Given Input numbers are 225, 506, 880, 742

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (225, 506, 880, 742) = 1.

Given numbers are 225, 506, 880, 742

The list of prime factors of all numbers are

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

Prime factors of 506 are 2 x 11 x 23

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 225, 506, 880, 742

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

Apply this formula for all numbers.

Step1:

LCM(225, 506) = 113850

GCD(225, 506) = ( 225 x 506 ) / 113850

= 225 / 506

= 225

Step2:

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

= 1 / 880

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 225, 506, 880, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 545, 842, 998
• GCD of 672, 655, 390, 968
• GCD of 211, 480, 925, 699
• GCD of 920, 418, 829, 917
• GCD of 672, 872, 731, 155

Given numbers are 225, 506, 880, 742
The greatest common divisor of numbers 225, 506, 880, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 506, 880, 742 is 1.

1. What is the GCD of 225, 506, 880, 742?

GCD of given numbers 225, 506, 880, 742 is 1

2. How to calculate the greatest common divisor of 225, 506, 880, 742?

We can find the highest common divisor of 225, 506, 880, 742 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, 506, 880, 742 i.e 1.

3. How can I use the GCD of 225, 506, 880, 742Calculator?

Out the numbers 225, 506, 880, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.