GCD of 871, 312, 973, 371 Calculator

Given Input numbers are 871, 312, 973, 371

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

GCD of numbers is the greatest common divisor

So, the GCD (871, 312, 973, 371) = 1.

Given numbers are 871, 312, 973, 371

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 973 are 7 x 139

Prime factors of 371 are 7 x 53

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

Given numbers are 871, 312, 973, 371

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

Apply this formula for all numbers.

Step1:

LCM(871, 312) = 20904

GCD(871, 312) = ( 871 x 312 ) / 20904

= 871 / 312

= 871

Step2:

LCM(13, 973) = 12649

GCD(13, 973) = ( 13 x 973 ) / 12649

= 13 / 973

= 13

Step3:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1

So, Greatest Common Divisor of 871, 312, 973, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 553, 766, 891, 539
• GCD of 298, 495, 734, 667
• GCD of 585, 422, 236, 947
• GCD of 743, 998, 766, 563
• GCD of 105, 916, 335, 515

Given numbers are 871, 312, 973, 371
The greatest common divisor of numbers 871, 312, 973, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 312, 973, 371 is 1.

1. What is the GCD of 871, 312, 973, 371?

GCD of given numbers 871, 312, 973, 371 is 1

2. How to calculate the greatest common divisor of 871, 312, 973, 371?

We can find the highest common divisor of 871, 312, 973, 371 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, 312, 973, 371 i.e 1.

3. How can I use the GCD of 871, 312, 973, 371Calculator?

Out the numbers 871, 312, 973, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.