GCD of 871, 500, 252, 505 Calculator

Given Input numbers are 871, 500, 252, 505

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 505 :

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

1, 5, 101, 505

GCD of numbers is the greatest common divisor

So, the GCD (871, 500, 252, 505) = 1.

Given numbers are 871, 500, 252, 505

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 505 are 5 x 101

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

Given numbers are 871, 500, 252, 505

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

Apply this formula for all numbers.

Step1:

LCM(871, 500) = 435500

GCD(871, 500) = ( 871 x 500 ) / 435500

= 871 / 500

= 871

Step2:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1

Step3:

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

= 1 / 505

= 1

So, Greatest Common Divisor of 871, 500, 252, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 636, 700, 864
• GCD of 252, 753, 579, 804
• GCD of 963, 460, 288, 214
• GCD of 317, 998, 461, 672
• GCD of 112, 651, 986, 128

Given numbers are 871, 500, 252, 505
The greatest common divisor of numbers 871, 500, 252, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 500, 252, 505 is 1.

1. What is the GCD of 871, 500, 252, 505?

GCD of given numbers 871, 500, 252, 505 is 1

2. How to calculate the greatest common divisor of 871, 500, 252, 505?

We can find the highest common divisor of 871, 500, 252, 505 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 871, 500, 252, 505 i.e 1.

3. How can I use the GCD of 871, 500, 252, 505Calculator?

Out the numbers 871, 500, 252, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.