GCD of 990, 960, 348 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 990, 960, 348 quickly. Get the easiest ways to solve the greatest common divisor of 990, 960, 348 i.e 6 in different methods as follows.
Given Input numbers are 990, 960, 348
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 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
GCD of numbers is the greatest common divisor
So, the GCD (990, 960, 348) = 6.
Given numbers are 990, 960, 348
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 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 348 are 2 x 2 x 3 x 29
The highest common occurrence is 21 x 31
Therefore, GCD of 990, 960, 348 is 6.
Steps to Calculate GCD of 990, 960, 348 using LCM Formula
Given numbers are 990, 960, 348
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 960) = 31680
GCD(990, 960) = ( 990 x 960 ) / 31680
= 990 / 960
= 990
Step2:
LCM(30, 348) = 1740
GCD(30, 348) = ( 30 x 348 ) / 1740
= 30 / 348
= 30
So, Greatest Common Divisor of 990, 960, 348 is 6
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 990, 960, 348
Given numbers are 990, 960, 348
The greatest common divisor of numbers 990, 960, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 960, 348 is 6.
FAQs on GCD of 990, 960, 348 Calculator
1. What is the GCD of 990, 960, 348?
GCD of given numbers 990, 960, 348 is 6
2. How to calculate the greatest common divisor of 990, 960, 348?
We can find the highest common divisor of 990, 960, 348 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, 960, 348 i.e 6.
3. How can I use the GCD of 990, 960, 348Calculator?
Out the numbers 990, 960, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.