GCD of 159, 138, 107, 874 Calculator

Given Input numbers are 159, 138, 107, 874

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

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 138 :

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

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (159, 138, 107, 874) = 1.

Given numbers are 159, 138, 107, 874

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 138 are 2 x 3 x 23

Prime factors of 107 are 107

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 159, 138, 107, 874

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

Apply this formula for all numbers.

Step1:

LCM(159, 138) = 7314

GCD(159, 138) = ( 159 x 138 ) / 7314

= 159 / 138

= 159

Step2:

LCM(3, 107) = 321

GCD(3, 107) = ( 3 x 107 ) / 321

= 3 / 107

= 3

Step3:

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

= 1 / 874

= 1

So, Greatest Common Divisor of 159, 138, 107, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 613, 982, 833
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Given numbers are 159, 138, 107, 874
The greatest common divisor of numbers 159, 138, 107, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 138, 107, 874 is 1.

1. What is the GCD of 159, 138, 107, 874?

GCD of given numbers 159, 138, 107, 874 is 1

2. How to calculate the greatest common divisor of 159, 138, 107, 874?

We can find the highest common divisor of 159, 138, 107, 874 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 159, 138, 107, 874 i.e 1.

3. How can I use the GCD of 159, 138, 107, 874Calculator?

Out the numbers 159, 138, 107, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.