GCD of 871, 798, 702, 814 Calculator

Given Input numbers are 871, 798, 702, 814

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 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (871, 798, 702, 814) = 1.

Given numbers are 871, 798, 702, 814

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 871, 798, 702, 814

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

Apply this formula for all numbers.

Step1:

LCM(871, 798) = 695058

GCD(871, 798) = ( 871 x 798 ) / 695058

= 871 / 798

= 871

Step2:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 871, 798, 702, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 742, 705, 843
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Given numbers are 871, 798, 702, 814
The greatest common divisor of numbers 871, 798, 702, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 798, 702, 814 is 1.

1. What is the GCD of 871, 798, 702, 814?

GCD of given numbers 871, 798, 702, 814 is 1

2. How to calculate the greatest common divisor of 871, 798, 702, 814?

We can find the highest common divisor of 871, 798, 702, 814 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, 798, 702, 814 i.e 1.

3. How can I use the GCD of 871, 798, 702, 814Calculator?

Out the numbers 871, 798, 702, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.