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GCD of 990, 410, 662, 975 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, 410, 662, 975 quickly. Get the easiest ways to solve the greatest common divisor of 990, 410, 662, 975 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 990, 410, 662, 975 with Factoring?

Given Input numbers are 990, 410, 662, 975

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 410 :

The positive integer divisors of 410 that completely divides 410 are.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975


GCD of numbers is the greatest common divisor

So, the GCD (990, 410, 662, 975) = 1.

Find GCD of 990, 410, 662, 975 using Prime Factorization

Given numbers are 990, 410, 662, 975

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 410 are 2 x 5 x 41

Prime factors of 662 are 2 x 331

Prime factors of 975 are 3 x 5 x 5 x 13

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

Steps to Calculate GCD of 990, 410, 662, 975 using LCM Formula

Given numbers are 990, 410, 662, 975

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

Apply this formula for all numbers.

Step1:

LCM(990, 410) = 40590

GCD(990, 410) = ( 990 x 410 ) / 40590

= 990 / 410

= 990


Step2:

LCM(10, 662) = 3310

GCD(10, 662) = ( 10 x 662 ) / 3310

= 10 / 662

= 10


Step3:

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

= 2 / 975

= 2


So, Greatest Common Divisor of 990, 410, 662, 975 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 990, 410, 662, 975

Given numbers are 990, 410, 662, 975
The greatest common divisor of numbers 990, 410, 662, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 410, 662, 975 is 1.

FAQs on GCD of 990, 410, 662, 975 Calculator

1. What is the GCD of 990, 410, 662, 975?

GCD of given numbers 990, 410, 662, 975 is 1


2. How to calculate the greatest common divisor of 990, 410, 662, 975?

We can find the highest common divisor of 990, 410, 662, 975 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, 410, 662, 975 i.e 1.


3. How can I use the GCD of 990, 410, 662, 975Calculator?

Out the numbers 990, 410, 662, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.