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GCD of 990, 981, 557, 194 Calculator

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


Online GCD Calculator is useful to find the GCD of 990, 981, 557, 194 quickly. Get the easiest ways to solve the greatest common divisor of 990, 981, 557, 194 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 981, 557, 194 with Factoring?

Given Input numbers are 990, 981, 557, 194

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 557 :

The positive integer divisors of 557 that completely divides 557 are.

1, 557

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194


GCD of numbers is the greatest common divisor

So, the GCD (990, 981, 557, 194) = 1.

Find GCD of 990, 981, 557, 194 using Prime Factorization

Given numbers are 990, 981, 557, 194

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 981 are 3 x 3 x 109

Prime factors of 557 are 557

Prime factors of 194 are 2 x 97

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

Steps to Calculate GCD of 990, 981, 557, 194 using LCM Formula

Given numbers are 990, 981, 557, 194

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

Apply this formula for all numbers.

Step1:

LCM(990, 981) = 107910

GCD(990, 981) = ( 990 x 981 ) / 107910

= 990 / 981

= 990


Step2:

LCM(9, 557) = 5013

GCD(9, 557) = ( 9 x 557 ) / 5013

= 9 / 557

= 9


Step3:

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

= 1 / 194

= 1


So, Greatest Common Divisor of 990, 981, 557, 194 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 981, 557, 194

Given numbers are 990, 981, 557, 194
The greatest common divisor of numbers 990, 981, 557, 194 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 981, 557, 194 is 1.

FAQs on GCD of 990, 981, 557, 194 Calculator

1. What is the GCD of 990, 981, 557, 194?

GCD of given numbers 990, 981, 557, 194 is 1


2. How to calculate the greatest common divisor of 990, 981, 557, 194?

We can find the highest common divisor of 990, 981, 557, 194 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 990, 981, 557, 194 i.e 1.


3. How can I use the GCD of 990, 981, 557, 194Calculator?

Out the numbers 990, 981, 557, 194 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.