GCD of 138, 862, 871 Calculator

Given Input numbers are 138, 862, 871

In the factoring method, we have to find the divisors of all numbers

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

GCD of numbers is the greatest common divisor

So, the GCD (138, 862, 871) = 1.

Given numbers are 138, 862, 871

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 862 are 2 x 431

Prime factors of 871 are 13 x 67

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

Given numbers are 138, 862, 871

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

Apply this formula for all numbers.

Step1:

LCM(138, 862) = 59478

GCD(138, 862) = ( 138 x 862 ) / 59478

= 138 / 862

= 138

Step2:

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

= 2 / 871

= 2

So, Greatest Common Divisor of 138, 862, 871 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 202, 269
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Given numbers are 138, 862, 871
The greatest common divisor of numbers 138, 862, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 862, 871 is 1.

1. What is the GCD of 138, 862, 871?

GCD of given numbers 138, 862, 871 is 1

2. How to calculate the greatest common divisor of 138, 862, 871?

We can find the highest common divisor of 138, 862, 871 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 138, 862, 871 i.e 1.

3. How can I use the GCD of 138, 862, 871Calculator?

Out the numbers 138, 862, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.