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GCD of 741, 998, 242, 473 Calculator

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


Online GCD Calculator is useful to find the GCD of 741, 998, 242, 473 quickly. Get the easiest ways to solve the greatest common divisor of 741, 998, 242, 473 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 741, 998, 242, 473 with Factoring?

Given Input numbers are 741, 998, 242, 473

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 473 :

The positive integer divisors of 473 that completely divides 473 are.

1, 11, 43, 473


GCD of numbers is the greatest common divisor

So, the GCD (741, 998, 242, 473) = 1.

Find GCD of 741, 998, 242, 473 using Prime Factorization

Given numbers are 741, 998, 242, 473

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 998 are 2 x 499

Prime factors of 242 are 2 x 11 x 11

Prime factors of 473 are 11 x 43

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

Steps to Calculate GCD of 741, 998, 242, 473 using LCM Formula

Given numbers are 741, 998, 242, 473

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

Apply this formula for all numbers.

Step1:

LCM(741, 998) = 739518

GCD(741, 998) = ( 741 x 998 ) / 739518

= 741 / 998

= 741


Step2:

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

= 1 / 242

= 1


Step3:

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

= 1 / 473

= 1


So, Greatest Common Divisor of 741, 998, 242, 473 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 741, 998, 242, 473

Given numbers are 741, 998, 242, 473
The greatest common divisor of numbers 741, 998, 242, 473 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 998, 242, 473 is 1.

FAQs on GCD of 741, 998, 242, 473 Calculator

1. What is the GCD of 741, 998, 242, 473?

GCD of given numbers 741, 998, 242, 473 is 1


2. How to calculate the greatest common divisor of 741, 998, 242, 473?

We can find the highest common divisor of 741, 998, 242, 473 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 741, 998, 242, 473 i.e 1.


3. How can I use the GCD of 741, 998, 242, 473Calculator?

Out the numbers 741, 998, 242, 473 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.