GCD of 225, 315, 310, 715 Calculator

Given Input numbers are 225, 315, 310, 715

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

GCD of numbers is the greatest common divisor

So, the GCD (225, 315, 310, 715) = 5.

Given numbers are 225, 315, 310, 715

The list of prime factors of all numbers are

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 310 are 2 x 5 x 31

Prime factors of 715 are 5 x 11 x 13

The highest common occurrence is 5¹

Therefore, GCD of 225, 315, 310, 715 is 5.

Given numbers are 225, 315, 310, 715

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

Apply this formula for all numbers.

Step1:

LCM(225, 315) = 1575

GCD(225, 315) = ( 225 x 315 ) / 1575

= 225 / 315

= 225

Step2:

LCM(45, 310) = 2790

GCD(45, 310) = ( 45 x 310 ) / 2790

= 45 / 310

= 45

Step3:

LCM(5, 715) = 715

GCD(5, 715) = ( 5 x 715 ) / 715

= 5 / 715

= 5

So, Greatest Common Divisor of 225, 315, 310, 715 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 417, 453, 705
• GCD of 946, 537, 270, 820
• GCD of 492, 517, 959, 365
• GCD of 539, 284, 606, 681
• GCD of 485, 441, 667, 882

Given numbers are 225, 315, 310, 715
The greatest common divisor of numbers 225, 315, 310, 715 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 225, 315, 310, 715 is 5.

1. What is the GCD of 225, 315, 310, 715?

GCD of given numbers 225, 315, 310, 715 is 5

2. How to calculate the greatest common divisor of 225, 315, 310, 715?

We can find the highest common divisor of 225, 315, 310, 715 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, 315, 310, 715 i.e 5.

3. How can I use the GCD of 225, 315, 310, 715Calculator?

Out the numbers 225, 315, 310, 715 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.