GCD of 871, 420, 513, 566 Calculator

Given Input numbers are 871, 420, 513, 566

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

GCD of numbers is the greatest common divisor

So, the GCD (871, 420, 513, 566) = 1.

Given numbers are 871, 420, 513, 566

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 566 are 2 x 283

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

Given numbers are 871, 420, 513, 566

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

Apply this formula for all numbers.

Step1:

LCM(871, 420) = 365820

GCD(871, 420) = ( 871 x 420 ) / 365820

= 871 / 420

= 871

Step2:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1

Step3:

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

= 1 / 566

= 1

So, Greatest Common Divisor of 871, 420, 513, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 344, 990, 945
• GCD of 511, 300, 179, 593
• GCD of 421, 873, 254, 104
• GCD of 209, 848, 767, 716
• GCD of 335, 279, 190, 309

Given numbers are 871, 420, 513, 566
The greatest common divisor of numbers 871, 420, 513, 566 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 420, 513, 566 is 1.

1. What is the GCD of 871, 420, 513, 566?

GCD of given numbers 871, 420, 513, 566 is 1

2. How to calculate the greatest common divisor of 871, 420, 513, 566?

We can find the highest common divisor of 871, 420, 513, 566 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, 420, 513, 566 i.e 1.

3. How can I use the GCD of 871, 420, 513, 566Calculator?

Out the numbers 871, 420, 513, 566 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.