GCD of 871, 205, 699, 120 Calculator

Given Input numbers are 871, 205, 699, 120

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 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (871, 205, 699, 120) = 1.

Given numbers are 871, 205, 699, 120

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 205 are 5 x 41

Prime factors of 699 are 3 x 233

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 871, 205, 699, 120

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

Apply this formula for all numbers.

Step1:

LCM(871, 205) = 178555

GCD(871, 205) = ( 871 x 205 ) / 178555

= 871 / 205

= 871

Step2:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 871, 205, 699, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 453, 522, 341
• GCD of 798, 223, 299, 979
• GCD of 412, 731, 300, 845
• GCD of 943, 412, 683, 929
• GCD of 525, 335, 675, 934

Given numbers are 871, 205, 699, 120
The greatest common divisor of numbers 871, 205, 699, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 205, 699, 120 is 1.

1. What is the GCD of 871, 205, 699, 120?

GCD of given numbers 871, 205, 699, 120 is 1

2. How to calculate the greatest common divisor of 871, 205, 699, 120?

We can find the highest common divisor of 871, 205, 699, 120 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, 205, 699, 120 i.e 1.

3. How can I use the GCD of 871, 205, 699, 120Calculator?

Out the numbers 871, 205, 699, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.