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GCD of 842, 148, 301, 984 Calculator

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


Online GCD Calculator is useful to find the GCD of 842, 148, 301, 984 quickly. Get the easiest ways to solve the greatest common divisor of 842, 148, 301, 984 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 842, 148, 301, 984 with Factoring?

Given Input numbers are 842, 148, 301, 984

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984


GCD of numbers is the greatest common divisor

So, the GCD (842, 148, 301, 984) = 1.

Find GCD of 842, 148, 301, 984 using Prime Factorization

Given numbers are 842, 148, 301, 984

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 148 are 2 x 2 x 37

Prime factors of 301 are 7 x 43

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Steps to Calculate GCD of 842, 148, 301, 984 using LCM Formula

Given numbers are 842, 148, 301, 984

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

Apply this formula for all numbers.

Step1:

LCM(842, 148) = 62308

GCD(842, 148) = ( 842 x 148 ) / 62308

= 842 / 148

= 842


Step2:

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

= 2 / 301

= 2


Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1


So, Greatest Common Divisor of 842, 148, 301, 984 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 842, 148, 301, 984

Given numbers are 842, 148, 301, 984
The greatest common divisor of numbers 842, 148, 301, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 148, 301, 984 is 1.

FAQs on GCD of 842, 148, 301, 984 Calculator

1. What is the GCD of 842, 148, 301, 984?

GCD of given numbers 842, 148, 301, 984 is 1


2. How to calculate the greatest common divisor of 842, 148, 301, 984?

We can find the highest common divisor of 842, 148, 301, 984 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 842, 148, 301, 984 i.e 1.


3. How can I use the GCD of 842, 148, 301, 984Calculator?

Out the numbers 842, 148, 301, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.