GCD of 159, 795, 828, 642 Calculator

Given Input numbers are 159, 795, 828, 642

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 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (159, 795, 828, 642) = 3.

Given numbers are 159, 795, 828, 642

The list of prime factors of all numbers are

Prime factors of 159 are 3 x 53

Prime factors of 795 are 3 x 5 x 53

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 159, 795, 828, 642 is 3.

Given numbers are 159, 795, 828, 642

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

Apply this formula for all numbers.

Step1:

LCM(159, 795) = 795

GCD(159, 795) = ( 159 x 795 ) / 795

= 159 / 795

= 159

Step2:

LCM(159, 828) = 43884

GCD(159, 828) = ( 159 x 828 ) / 43884

= 159 / 828

= 159

Step3:

LCM(3, 642) = 642

GCD(3, 642) = ( 3 x 642 ) / 642

= 3 / 642

= 3

So, Greatest Common Divisor of 159, 795, 828, 642 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 591, 623, 938
• GCD of 935, 311, 734, 893
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Given numbers are 159, 795, 828, 642
The greatest common divisor of numbers 159, 795, 828, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 159, 795, 828, 642 is 3.

1. What is the GCD of 159, 795, 828, 642?

GCD of given numbers 159, 795, 828, 642 is 3

2. How to calculate the greatest common divisor of 159, 795, 828, 642?

We can find the highest common divisor of 159, 795, 828, 642 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, 795, 828, 642 i.e 3.

3. How can I use the GCD of 159, 795, 828, 642Calculator?

Out the numbers 159, 795, 828, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.