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GCD of 473, 998, 90, 138 Calculator

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


Online GCD Calculator is useful to find the GCD of 473, 998, 90, 138 quickly. Get the easiest ways to solve the greatest common divisor of 473, 998, 90, 138 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 473, 998, 90, 138 with Factoring?

Given Input numbers are 473, 998, 90, 138

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

Divisors of 473 :

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

1, 11, 43, 473

Divisors of 998 :

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

1, 2, 499, 998

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138


GCD of numbers is the greatest common divisor

So, the GCD (473, 998, 90, 138) = 1.

Find GCD of 473, 998, 90, 138 using Prime Factorization

Given numbers are 473, 998, 90, 138

The list of prime factors of all numbers are

Prime factors of 473 are 11 x 43

Prime factors of 998 are 2 x 499

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 138 are 2 x 3 x 23

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

Steps to Calculate GCD of 473, 998, 90, 138 using LCM Formula

Given numbers are 473, 998, 90, 138

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

Apply this formula for all numbers.

Step1:

LCM(473, 998) = 472054

GCD(473, 998) = ( 473 x 998 ) / 472054

= 473 / 998

= 473


Step2:

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

= 1 / 90

= 1


Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1


So, Greatest Common Divisor of 473, 998, 90, 138 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 473, 998, 90, 138

Given numbers are 473, 998, 90, 138
The greatest common divisor of numbers 473, 998, 90, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 473, 998, 90, 138 is 1.

FAQs on GCD of 473, 998, 90, 138 Calculator

1. What is the GCD of 473, 998, 90, 138?

GCD of given numbers 473, 998, 90, 138 is 1


2. How to calculate the greatest common divisor of 473, 998, 90, 138?

We can find the highest common divisor of 473, 998, 90, 138 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 473, 998, 90, 138 i.e 1.


3. How can I use the GCD of 473, 998, 90, 138Calculator?

Out the numbers 473, 998, 90, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.