GCD of 505, 920, 988, 871 Calculator

Given Input numbers are 505, 920, 988, 871

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 871 :

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

1, 13, 67, 871

GCD of numbers is the greatest common divisor

So, the GCD (505, 920, 988, 871) = 1.

Given numbers are 505, 920, 988, 871

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 871 are 13 x 67

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

Given numbers are 505, 920, 988, 871

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

Apply this formula for all numbers.

Step1:

LCM(505, 920) = 92920

GCD(505, 920) = ( 505 x 920 ) / 92920

= 505 / 920

= 505

Step2:

LCM(5, 988) = 4940

GCD(5, 988) = ( 5 x 988 ) / 4940

= 5 / 988

= 5

Step3:

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

= 1 / 871

= 1

So, Greatest Common Divisor of 505, 920, 988, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 198, 571, 635
• GCD of 539, 387, 643, 848
• GCD of 831, 990, 451, 677
• GCD of 611, 303, 527, 555
• GCD of 281, 433, 551, 763

Given numbers are 505, 920, 988, 871
The greatest common divisor of numbers 505, 920, 988, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 920, 988, 871 is 1.

1. What is the GCD of 505, 920, 988, 871?

GCD of given numbers 505, 920, 988, 871 is 1

2. How to calculate the greatest common divisor of 505, 920, 988, 871?

We can find the highest common divisor of 505, 920, 988, 871 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, 920, 988, 871 i.e 1.

3. How can I use the GCD of 505, 920, 988, 871Calculator?

Out the numbers 505, 920, 988, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.