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GCD of 990, 985, 465, 688 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, 985, 465, 688 quickly. Get the easiest ways to solve the greatest common divisor of 990, 985, 465, 688 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 985, 465, 688 with Factoring?

Given Input numbers are 990, 985, 465, 688

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 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688


GCD of numbers is the greatest common divisor

So, the GCD (990, 985, 465, 688) = 1.

Find GCD of 990, 985, 465, 688 using Prime Factorization

Given numbers are 990, 985, 465, 688

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 985 are 5 x 197

Prime factors of 465 are 3 x 5 x 31

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Steps to Calculate GCD of 990, 985, 465, 688 using LCM Formula

Given numbers are 990, 985, 465, 688

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

Apply this formula for all numbers.

Step1:

LCM(990, 985) = 195030

GCD(990, 985) = ( 990 x 985 ) / 195030

= 990 / 985

= 990


Step2:

LCM(5, 465) = 465

GCD(5, 465) = ( 5 x 465 ) / 465

= 5 / 465

= 5


Step3:

LCM(5, 688) = 3440

GCD(5, 688) = ( 5 x 688 ) / 3440

= 5 / 688

= 5


So, Greatest Common Divisor of 990, 985, 465, 688 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 985, 465, 688

Given numbers are 990, 985, 465, 688
The greatest common divisor of numbers 990, 985, 465, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 985, 465, 688 is 1.

FAQs on GCD of 990, 985, 465, 688 Calculator

1. What is the GCD of 990, 985, 465, 688?

GCD of given numbers 990, 985, 465, 688 is 1


2. How to calculate the greatest common divisor of 990, 985, 465, 688?

We can find the highest common divisor of 990, 985, 465, 688 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, 985, 465, 688 i.e 1.


3. How can I use the GCD of 990, 985, 465, 688Calculator?

Out the numbers 990, 985, 465, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.