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GCD of 984, 226, 949, 490 Calculator

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


Online GCD Calculator is useful to find the GCD of 984, 226, 949, 490 quickly. Get the easiest ways to solve the greatest common divisor of 984, 226, 949, 490 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 984, 226, 949, 490 with Factoring?

Given Input numbers are 984, 226, 949, 490

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

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490


GCD of numbers is the greatest common divisor

So, the GCD (984, 226, 949, 490) = 1.

Find GCD of 984, 226, 949, 490 using Prime Factorization

Given numbers are 984, 226, 949, 490

The list of prime factors of all numbers are

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

Prime factors of 226 are 2 x 113

Prime factors of 949 are 13 x 73

Prime factors of 490 are 2 x 5 x 7 x 7

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

Steps to Calculate GCD of 984, 226, 949, 490 using LCM Formula

Given numbers are 984, 226, 949, 490

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

Apply this formula for all numbers.

Step1:

LCM(984, 226) = 111192

GCD(984, 226) = ( 984 x 226 ) / 111192

= 984 / 226

= 984


Step2:

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

= 2 / 949

= 2


Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1


So, Greatest Common Divisor of 984, 226, 949, 490 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 984, 226, 949, 490

Given numbers are 984, 226, 949, 490
The greatest common divisor of numbers 984, 226, 949, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 226, 949, 490 is 1.

FAQs on GCD of 984, 226, 949, 490 Calculator

1. What is the GCD of 984, 226, 949, 490?

GCD of given numbers 984, 226, 949, 490 is 1


2. How to calculate the greatest common divisor of 984, 226, 949, 490?

We can find the highest common divisor of 984, 226, 949, 490 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 984, 226, 949, 490 i.e 1.


3. How can I use the GCD of 984, 226, 949, 490Calculator?

Out the numbers 984, 226, 949, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.