GCD of 871, 689, 500, 562 Calculator

Given Input numbers are 871, 689, 500, 562

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

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 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (871, 689, 500, 562) = 1.

Given numbers are 871, 689, 500, 562

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 689 are 13 x 53

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

Prime factors of 562 are 2 x 281

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

Given numbers are 871, 689, 500, 562

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

Apply this formula for all numbers.

Step1:

LCM(871, 689) = 46163

GCD(871, 689) = ( 871 x 689 ) / 46163

= 871 / 689

= 871

Step2:

LCM(13, 500) = 6500

GCD(13, 500) = ( 13 x 500 ) / 6500

= 13 / 500

= 13

Step3:

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

= 1 / 562

= 1

So, Greatest Common Divisor of 871, 689, 500, 562 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 888, 625, 225
• GCD of 474, 792, 656, 426
• GCD of 581, 315, 502, 147
• GCD of 563, 357, 219, 889
• GCD of 262, 304, 202, 386

Given numbers are 871, 689, 500, 562
The greatest common divisor of numbers 871, 689, 500, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 689, 500, 562 is 1.

1. What is the GCD of 871, 689, 500, 562?

GCD of given numbers 871, 689, 500, 562 is 1

2. How to calculate the greatest common divisor of 871, 689, 500, 562?

We can find the highest common divisor of 871, 689, 500, 562 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, 689, 500, 562 i.e 1.

3. How can I use the GCD of 871, 689, 500, 562Calculator?

Out the numbers 871, 689, 500, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.