GCD of 840, 114, 724 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 840, 114, 724 quickly. Get the easiest ways to solve the greatest common divisor of 840, 114, 724 i.e 2 in different methods as follows.
Given Input numbers are 840, 114, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (840, 114, 724) = 2.
Given numbers are 840, 114, 724
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 114 are 2 x 3 x 19
Prime factors of 724 are 2 x 2 x 181
The highest common occurrence is 21
Therefore, GCD of 840, 114, 724 is 2.
Steps to Calculate GCD of 840, 114, 724 using LCM Formula
Given numbers are 840, 114, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 114) = 15960
GCD(840, 114) = ( 840 x 114 ) / 15960
= 840 / 114
= 840
Step2:
LCM(6, 724) = 2172
GCD(6, 724) = ( 6 x 724 ) / 2172
= 6 / 724
= 6
So, Greatest Common Divisor of 840, 114, 724 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 840, 114, 724
Given numbers are 840, 114, 724
The greatest common divisor of numbers 840, 114, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 114, 724 is 2.
FAQs on GCD of 840, 114, 724 Calculator
1. What is the GCD of 840, 114, 724?
GCD of given numbers 840, 114, 724 is 2
2. How to calculate the greatest common divisor of 840, 114, 724?
We can find the highest common divisor of 840, 114, 724 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 840, 114, 724 i.e 2.
3. How can I use the GCD of 840, 114, 724Calculator?
Out the numbers 840, 114, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.