GCD of 225, 505, 312, 713 Calculator

Given Input numbers are 225, 505, 312, 713

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

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 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

GCD of numbers is the greatest common divisor

So, the GCD (225, 505, 312, 713) = 1.

Given numbers are 225, 505, 312, 713

The list of prime factors of all numbers are

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

Prime factors of 505 are 5 x 101

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

Prime factors of 713 are 23 x 31

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

Given numbers are 225, 505, 312, 713

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

Apply this formula for all numbers.

Step1:

LCM(225, 505) = 22725

GCD(225, 505) = ( 225 x 505 ) / 22725

= 225 / 505

= 225

Step2:

LCM(5, 312) = 1560

GCD(5, 312) = ( 5 x 312 ) / 1560

= 5 / 312

= 5

Step3:

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

= 1 / 713

= 1

So, Greatest Common Divisor of 225, 505, 312, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 181, 456, 639
• GCD of 357, 533, 118, 456
• GCD of 940, 630, 722, 298
• GCD of 521, 696, 120, 194
• GCD of 907, 621, 315, 903

Given numbers are 225, 505, 312, 713
The greatest common divisor of numbers 225, 505, 312, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 505, 312, 713 is 1.

1. What is the GCD of 225, 505, 312, 713?

GCD of given numbers 225, 505, 312, 713 is 1

2. How to calculate the greatest common divisor of 225, 505, 312, 713?

We can find the highest common divisor of 225, 505, 312, 713 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, 505, 312, 713 i.e 1.

3. How can I use the GCD of 225, 505, 312, 713Calculator?

Out the numbers 225, 505, 312, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.