GCD of 940, 990, 200 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 940, 990, 200 quickly. Get the easiest ways to solve the greatest common divisor of 940, 990, 200 i.e 10 in different methods as follows.
Given Input numbers are 940, 990, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (940, 990, 200) = 10.
Given numbers are 940, 990, 200
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 940, 990, 200 is 10.
Steps to Calculate GCD of 940, 990, 200 using LCM Formula
Given numbers are 940, 990, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 990) = 93060
GCD(940, 990) = ( 940 x 990 ) / 93060
= 940 / 990
= 940
Step2:
LCM(10, 200) = 200
GCD(10, 200) = ( 10 x 200 ) / 200
= 10 / 200
= 10
So, Greatest Common Divisor of 940, 990, 200 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 940, 990, 200
Given numbers are 940, 990, 200
The greatest common divisor of numbers 940, 990, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 990, 200 is 10.
FAQs on GCD of 940, 990, 200 Calculator
1. What is the GCD of 940, 990, 200?
GCD of given numbers 940, 990, 200 is 10
2. How to calculate the greatest common divisor of 940, 990, 200?
We can find the highest common divisor of 940, 990, 200 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 940, 990, 200 i.e 10.
3. How can I use the GCD of 940, 990, 200Calculator?
Out the numbers 940, 990, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.