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GCD of 838, 304, 402, 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 838, 304, 402, 159 quickly. Get the easiest ways to solve the greatest common divisor of 838, 304, 402, 159 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 304, 402, 159 with Factoring?

Given Input numbers are 838, 304, 402, 159

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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 (838, 304, 402, 159) = 1.

Find GCD of 838, 304, 402, 159 using Prime Factorization

Given numbers are 838, 304, 402, 159

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 402 are 2 x 3 x 67

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 838, 304, 402, 159 using LCM Formula

Given numbers are 838, 304, 402, 159

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

Apply this formula for all numbers.

Step1:

LCM(838, 304) = 127376

GCD(838, 304) = ( 838 x 304 ) / 127376

= 838 / 304

= 838


Step2:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2


Step3:

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

= 2 / 159

= 2


So, Greatest Common Divisor of 838, 304, 402, 159 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 304, 402, 159

Given numbers are 838, 304, 402, 159
The greatest common divisor of numbers 838, 304, 402, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 304, 402, 159 is 1.

FAQs on GCD of 838, 304, 402, 159 Calculator

1. What is the GCD of 838, 304, 402, 159?

GCD of given numbers 838, 304, 402, 159 is 1


2. How to calculate the greatest common divisor of 838, 304, 402, 159?

We can find the highest common divisor of 838, 304, 402, 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 838, 304, 402, 159 i.e 1.


3. How can I use the GCD of 838, 304, 402, 159Calculator?

Out the numbers 838, 304, 402, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.