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GCD of 945, 159, 42 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 945, 159, 42 quickly. Get the easiest ways to solve the greatest common divisor of 945, 159, 42 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 159, 42 with Factoring?

Given Input numbers are 945, 159, 42

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42


GCD of numbers is the greatest common divisor

So, the GCD (945, 159, 42) = 3.

Find GCD of 945, 159, 42 using Prime Factorization

Given numbers are 945, 159, 42

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 159 are 3 x 53

Prime factors of 42 are 2 x 3 x 7

The highest common occurrence is 31

Therefore, GCD of 945, 159, 42 is 3.

Steps to Calculate GCD of 945, 159, 42 using LCM Formula

Given numbers are 945, 159, 42

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

Apply this formula for all numbers.

Step1:

LCM(945, 159) = 50085

GCD(945, 159) = ( 945 x 159 ) / 50085

= 945 / 159

= 945


Step2:

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

= 3 / 42

= 3


So, Greatest Common Divisor of 945, 159, 42 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 159, 42

Given numbers are 945, 159, 42
The greatest common divisor of numbers 945, 159, 42 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 159, 42 is 3.

FAQs on GCD of 945, 159, 42 Calculator

1. What is the GCD of 945, 159, 42?

GCD of given numbers 945, 159, 42 is 3


2. How to calculate the greatest common divisor of 945, 159, 42?

We can find the highest common divisor of 945, 159, 42 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 945, 159, 42 i.e 3.


3. How can I use the GCD of 945, 159, 42Calculator?

Out the numbers 945, 159, 42 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.