GCD of 505, 221, 476, 731 Calculator

Given Input numbers are 505, 221, 476, 731

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 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (505, 221, 476, 731) = 1.

Given numbers are 505, 221, 476, 731

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 221 are 13 x 17

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 731 are 17 x 43

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

Given numbers are 505, 221, 476, 731

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

Apply this formula for all numbers.

Step1:

LCM(505, 221) = 111605

GCD(505, 221) = ( 505 x 221 ) / 111605

= 505 / 221

= 505

Step2:

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

= 1 / 476

= 1

Step3:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1

So, Greatest Common Divisor of 505, 221, 476, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 390, 897, 338
• GCD of 403, 225, 102, 184
• GCD of 357, 634, 978, 552
• GCD of 623, 647, 590, 729
• GCD of 680, 778, 109, 870

Given numbers are 505, 221, 476, 731
The greatest common divisor of numbers 505, 221, 476, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 221, 476, 731 is 1.

1. What is the GCD of 505, 221, 476, 731?

GCD of given numbers 505, 221, 476, 731 is 1

2. How to calculate the greatest common divisor of 505, 221, 476, 731?

We can find the highest common divisor of 505, 221, 476, 731 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, 221, 476, 731 i.e 1.

3. How can I use the GCD of 505, 221, 476, 731Calculator?

Out the numbers 505, 221, 476, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.