GCD of 505, 565, 438, 261 Calculator

Given Input numbers are 505, 565, 438, 261

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 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (505, 565, 438, 261) = 1.

Given numbers are 505, 565, 438, 261

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 565 are 5 x 113

Prime factors of 438 are 2 x 3 x 73

Prime factors of 261 are 3 x 3 x 29

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

Given numbers are 505, 565, 438, 261

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

Apply this formula for all numbers.

Step1:

LCM(505, 565) = 57065

GCD(505, 565) = ( 505 x 565 ) / 57065

= 505 / 565

= 505

Step2:

LCM(5, 438) = 2190

GCD(5, 438) = ( 5 x 438 ) / 2190

= 5 / 438

= 5

Step3:

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

= 1 / 261

= 1

So, Greatest Common Divisor of 505, 565, 438, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 907, 402, 158
• GCD of 505, 981, 177, 410
• GCD of 553, 582, 214, 369
• GCD of 834, 134, 112, 964
• GCD of 732, 208, 331, 271

Given numbers are 505, 565, 438, 261
The greatest common divisor of numbers 505, 565, 438, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 565, 438, 261 is 1.

1. What is the GCD of 505, 565, 438, 261?

GCD of given numbers 505, 565, 438, 261 is 1

2. How to calculate the greatest common divisor of 505, 565, 438, 261?

We can find the highest common divisor of 505, 565, 438, 261 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, 565, 438, 261 i.e 1.

3. How can I use the GCD of 505, 565, 438, 261Calculator?

Out the numbers 505, 565, 438, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.