GCD of 940, 730, 490 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 940, 730, 490 quickly. Get the easiest ways to solve the greatest common divisor of 940, 730, 490 i.e 10 in different methods as follows.
Given Input numbers are 940, 730, 490
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 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (940, 730, 490) = 10.
Given numbers are 940, 730, 490
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 730 are 2 x 5 x 73
Prime factors of 490 are 2 x 5 x 7 x 7
The highest common occurrence is 21 x 51
Therefore, GCD of 940, 730, 490 is 10.
Steps to Calculate GCD of 940, 730, 490 using LCM Formula
Given numbers are 940, 730, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 730) = 68620
GCD(940, 730) = ( 940 x 730 ) / 68620
= 940 / 730
= 940
Step2:
LCM(10, 490) = 490
GCD(10, 490) = ( 10 x 490 ) / 490
= 10 / 490
= 10
So, Greatest Common Divisor of 940, 730, 490 is 10
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 940, 730, 490
Given numbers are 940, 730, 490
The greatest common divisor of numbers 940, 730, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 730, 490 is 10.
FAQs on GCD of 940, 730, 490 Calculator
1. What is the GCD of 940, 730, 490?
GCD of given numbers 940, 730, 490 is 10
2. How to calculate the greatest common divisor of 940, 730, 490?
We can find the highest common divisor of 940, 730, 490 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, 730, 490 i.e 10.
3. How can I use the GCD of 940, 730, 490Calculator?
Out the numbers 940, 730, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.