GCD of 505, 705, 398, 487 Calculator

Given Input numbers are 505, 705, 398, 487

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

Divisors of 505 :

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

1, 5, 101, 505

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

GCD of numbers is the greatest common divisor

So, the GCD (505, 705, 398, 487) = 1.

Given numbers are 505, 705, 398, 487

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 705 are 3 x 5 x 47

Prime factors of 398 are 2 x 199

Prime factors of 487 are 487

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

Given numbers are 505, 705, 398, 487

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

Apply this formula for all numbers.

Step1:

LCM(505, 705) = 71205

GCD(505, 705) = ( 505 x 705 ) / 71205

= 505 / 705

= 505

Step2:

LCM(5, 398) = 1990

GCD(5, 398) = ( 5 x 398 ) / 1990

= 5 / 398

= 5

Step3:

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

= 1 / 487

= 1

So, Greatest Common Divisor of 505, 705, 398, 487 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 668, 251, 715
• GCD of 424, 342, 648, 265
• GCD of 214, 552, 407, 558
• GCD of 424, 435, 702, 333
• GCD of 816, 600, 597, 636

Given numbers are 505, 705, 398, 487
The greatest common divisor of numbers 505, 705, 398, 487 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 705, 398, 487 is 1.

1. What is the GCD of 505, 705, 398, 487?

GCD of given numbers 505, 705, 398, 487 is 1

2. How to calculate the greatest common divisor of 505, 705, 398, 487?

We can find the highest common divisor of 505, 705, 398, 487 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 505, 705, 398, 487 i.e 1.

3. How can I use the GCD of 505, 705, 398, 487Calculator?

Out the numbers 505, 705, 398, 487 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.