GCD of 852, 224, 730 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 852, 224, 730 quickly. Get the easiest ways to solve the greatest common divisor of 852, 224, 730 i.e 2 in different methods as follows.
Given Input numbers are 852, 224, 730
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
GCD of numbers is the greatest common divisor
So, the GCD (852, 224, 730) = 2.
Given numbers are 852, 224, 730
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 730 are 2 x 5 x 73
The highest common occurrence is 21
Therefore, GCD of 852, 224, 730 is 2.
Steps to Calculate GCD of 852, 224, 730 using LCM Formula
Given numbers are 852, 224, 730
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 224) = 47712
GCD(852, 224) = ( 852 x 224 ) / 47712
= 852 / 224
= 852
Step2:
LCM(4, 730) = 1460
GCD(4, 730) = ( 4 x 730 ) / 1460
= 4 / 730
= 4
So, Greatest Common Divisor of 852, 224, 730 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 852, 224, 730
Given numbers are 852, 224, 730
The greatest common divisor of numbers 852, 224, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 224, 730 is 2.
FAQs on GCD of 852, 224, 730 Calculator
1. What is the GCD of 852, 224, 730?
GCD of given numbers 852, 224, 730 is 2
2. How to calculate the greatest common divisor of 852, 224, 730?
We can find the highest common divisor of 852, 224, 730 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 852, 224, 730 i.e 2.
3. How can I use the GCD of 852, 224, 730Calculator?
Out the numbers 852, 224, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.