GCD of 159, 742, 318 Calculator

Given Input numbers are 159, 742, 318

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (159, 742, 318) = 53.

Given numbers are 159, 742, 318

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 742 are 2 x 7 x 53

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 53¹

Therefore, GCD of 159, 742, 318 is 53.

Given numbers are 159, 742, 318

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

Apply this formula for all numbers.

Step1:

LCM(159, 742) = 2226

GCD(159, 742) = ( 159 x 742 ) / 2226

= 159 / 742

= 159

Step2:

LCM(53, 318) = 318

GCD(53, 318) = ( 53 x 318 ) / 318

= 53 / 318

= 53

So, Greatest Common Divisor of 159, 742, 318 is 53

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 514, 940
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Given numbers are 159, 742, 318
The greatest common divisor of numbers 159, 742, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 742, 318 is 53.

1. What is the GCD of 159, 742, 318?

GCD of given numbers 159, 742, 318 is 53

2. How to calculate the greatest common divisor of 159, 742, 318?

We can find the highest common divisor of 159, 742, 318 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, 742, 318 i.e 53.

3. How can I use the GCD of 159, 742, 318Calculator?

Out the numbers 159, 742, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.