GCD of 730, 920, 846 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 730, 920, 846 quickly. Get the easiest ways to solve the greatest common divisor of 730, 920, 846 i.e 2 in different methods as follows.
Given Input numbers are 730, 920, 846
In the factoring method, we have to find the divisors of all numbers
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
GCD of numbers is the greatest common divisor
So, the GCD (730, 920, 846) = 2.
Given numbers are 730, 920, 846
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 846 are 2 x 3 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 730, 920, 846 is 2.
Steps to Calculate GCD of 730, 920, 846 using LCM Formula
Given numbers are 730, 920, 846
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 920) = 67160
GCD(730, 920) = ( 730 x 920 ) / 67160
= 730 / 920
= 730
Step2:
LCM(10, 846) = 4230
GCD(10, 846) = ( 10 x 846 ) / 4230
= 10 / 846
= 10
So, Greatest Common Divisor of 730, 920, 846 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 730, 920, 846
Given numbers are 730, 920, 846
The greatest common divisor of numbers 730, 920, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 920, 846 is 2.
FAQs on GCD of 730, 920, 846 Calculator
1. What is the GCD of 730, 920, 846?
GCD of given numbers 730, 920, 846 is 2
2. How to calculate the greatest common divisor of 730, 920, 846?
We can find the highest common divisor of 730, 920, 846 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 730, 920, 846 i.e 2.
3. How can I use the GCD of 730, 920, 846Calculator?
Out the numbers 730, 920, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.