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GCD of 830, 740, 990 Calculator

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


Online GCD Calculator is useful to find the GCD of 830, 740, 990 quickly. Get the easiest ways to solve the greatest common divisor of 830, 740, 990 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 830, 740, 990 with Factoring?

Given Input numbers are 830, 740, 990

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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


GCD of numbers is the greatest common divisor

So, the GCD (830, 740, 990) = 10.

Find GCD of 830, 740, 990 using Prime Factorization

Given numbers are 830, 740, 990

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 740 are 2 x 2 x 5 x 37

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

The highest common occurrence is 21 x 51

Therefore, GCD of 830, 740, 990 is 10.

Steps to Calculate GCD of 830, 740, 990 using LCM Formula

Given numbers are 830, 740, 990

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

Apply this formula for all numbers.

Step1:

LCM(830, 740) = 61420

GCD(830, 740) = ( 830 x 740 ) / 61420

= 830 / 740

= 830


Step2:

LCM(10, 990) = 990

GCD(10, 990) = ( 10 x 990 ) / 990

= 10 / 990

= 10


So, Greatest Common Divisor of 830, 740, 990 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 830, 740, 990

Given numbers are 830, 740, 990
The greatest common divisor of numbers 830, 740, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 740, 990 is 10.

FAQs on GCD of 830, 740, 990 Calculator

1. What is the GCD of 830, 740, 990?

GCD of given numbers 830, 740, 990 is 10


2. How to calculate the greatest common divisor of 830, 740, 990?

We can find the highest common divisor of 830, 740, 990 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 830, 740, 990 i.e 10.


3. How can I use the GCD of 830, 740, 990Calculator?

Out the numbers 830, 740, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.