GCD of 159, 747, 987, 162 Calculator

Given Input numbers are 159, 747, 987, 162

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (159, 747, 987, 162) = 3.

Given numbers are 159, 747, 987, 162

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 747 are 3 x 3 x 83

Prime factors of 987 are 3 x 7 x 47

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 159, 747, 987, 162 is 3.

Given numbers are 159, 747, 987, 162

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

Apply this formula for all numbers.

Step1:

LCM(159, 747) = 39591

GCD(159, 747) = ( 159 x 747 ) / 39591

= 159 / 747

= 159

Step2:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

Step3:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 159, 747, 987, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 916, 851, 398
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Given numbers are 159, 747, 987, 162
The greatest common divisor of numbers 159, 747, 987, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 747, 987, 162 is 3.

1. What is the GCD of 159, 747, 987, 162?

GCD of given numbers 159, 747, 987, 162 is 3

2. How to calculate the greatest common divisor of 159, 747, 987, 162?

We can find the highest common divisor of 159, 747, 987, 162 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, 747, 987, 162 i.e 3.

3. How can I use the GCD of 159, 747, 987, 162Calculator?

Out the numbers 159, 747, 987, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.