GCD of 871, 749, 398, 427 Calculator

Given Input numbers are 871, 749, 398, 427

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

GCD of numbers is the greatest common divisor

So, the GCD (871, 749, 398, 427) = 1.

Given numbers are 871, 749, 398, 427

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 749 are 7 x 107

Prime factors of 398 are 2 x 199

Prime factors of 427 are 7 x 61

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

Given numbers are 871, 749, 398, 427

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

Apply this formula for all numbers.

Step1:

LCM(871, 749) = 652379

GCD(871, 749) = ( 871 x 749 ) / 652379

= 871 / 749

= 871

Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

Step3:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1

So, Greatest Common Divisor of 871, 749, 398, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 900, 904, 154
• GCD of 860, 799, 963, 133
• GCD of 453, 291, 204, 650
• GCD of 614, 484, 264, 869
• GCD of 291, 328, 269, 566

Given numbers are 871, 749, 398, 427
The greatest common divisor of numbers 871, 749, 398, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 749, 398, 427 is 1.

1. What is the GCD of 871, 749, 398, 427?

GCD of given numbers 871, 749, 398, 427 is 1

2. How to calculate the greatest common divisor of 871, 749, 398, 427?

We can find the highest common divisor of 871, 749, 398, 427 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, 749, 398, 427 i.e 1.

3. How can I use the GCD of 871, 749, 398, 427Calculator?

Out the numbers 871, 749, 398, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.