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GCD of 342, 987, 160, 159 Calculator

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


Online GCD Calculator is useful to find the GCD of 342, 987, 160, 159 quickly. Get the easiest ways to solve the greatest common divisor of 342, 987, 160, 159 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 987, 160, 159 with Factoring?

Given Input numbers are 342, 987, 160, 159

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 987 :

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

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 159 :

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

1, 3, 53, 159


GCD of numbers is the greatest common divisor

So, the GCD (342, 987, 160, 159) = 1.

Find GCD of 342, 987, 160, 159 using Prime Factorization

Given numbers are 342, 987, 160, 159

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 987 are 3 x 7 x 47

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 159 are 3 x 53

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

Steps to Calculate GCD of 342, 987, 160, 159 using LCM Formula

Given numbers are 342, 987, 160, 159

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

Apply this formula for all numbers.

Step1:

LCM(342, 987) = 112518

GCD(342, 987) = ( 342 x 987 ) / 112518

= 342 / 987

= 342


Step2:

LCM(3, 160) = 480

GCD(3, 160) = ( 3 x 160 ) / 480

= 3 / 160

= 3


Step3:

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

= 1 / 159

= 1


So, Greatest Common Divisor of 342, 987, 160, 159 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 987, 160, 159

Given numbers are 342, 987, 160, 159
The greatest common divisor of numbers 342, 987, 160, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 987, 160, 159 is 1.

FAQs on GCD of 342, 987, 160, 159 Calculator

1. What is the GCD of 342, 987, 160, 159?

GCD of given numbers 342, 987, 160, 159 is 1


2. How to calculate the greatest common divisor of 342, 987, 160, 159?

We can find the highest common divisor of 342, 987, 160, 159 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 342, 987, 160, 159 i.e 1.


3. How can I use the GCD of 342, 987, 160, 159Calculator?

Out the numbers 342, 987, 160, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.