GCD of 515, 420, 470, 225 Calculator

Given Input numbers are 515, 420, 470, 225

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

Divisors of 515 :

The positive integer divisors of 515 that completely divides 515 are.

1, 5, 103, 515

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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 (515, 420, 470, 225) = 5.

Given numbers are 515, 420, 470, 225

The list of prime factors of all numbers are

Prime factors of 515 are 5 x 103

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 470 are 2 x 5 x 47

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

The highest common occurrence is 5¹

Therefore, GCD of 515, 420, 470, 225 is 5.

Given numbers are 515, 420, 470, 225

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

Apply this formula for all numbers.

Step1:

LCM(515, 420) = 43260

GCD(515, 420) = ( 515 x 420 ) / 43260

= 515 / 420

= 515

Step2:

LCM(5, 470) = 470

GCD(5, 470) = ( 5 x 470 ) / 470

= 5 / 470

= 5

Step3:

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

= 5 / 225

= 5

So, Greatest Common Divisor of 515, 420, 470, 225 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 984, 133, 233
• GCD of 815, 223, 199, 600
• GCD of 760, 682, 551, 422
• GCD of 900, 673, 924, 850
• GCD of 152, 970, 499, 371

Given numbers are 515, 420, 470, 225
The greatest common divisor of numbers 515, 420, 470, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 515, 420, 470, 225 is 5.

1. What is the GCD of 515, 420, 470, 225?

GCD of given numbers 515, 420, 470, 225 is 5

2. How to calculate the greatest common divisor of 515, 420, 470, 225?

We can find the highest common divisor of 515, 420, 470, 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 515, 420, 470, 225 i.e 5.

3. How can I use the GCD of 515, 420, 470, 225Calculator?

Out the numbers 515, 420, 470, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.