GCD of 144, 747, 840 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 144, 747, 840 quickly. Get the easiest ways to solve the greatest common divisor of 144, 747, 840 i.e 3 in different methods as follows.
Given Input numbers are 144, 747, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
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
GCD of numbers is the greatest common divisor
So, the GCD (144, 747, 840) = 3.
Given numbers are 144, 747, 840
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 747 are 3 x 3 x 83
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 144, 747, 840 is 3.
Steps to Calculate GCD of 144, 747, 840 using LCM Formula
Given numbers are 144, 747, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 747) = 11952
GCD(144, 747) = ( 144 x 747 ) / 11952
= 144 / 747
= 144
Step2:
LCM(9, 840) = 2520
GCD(9, 840) = ( 9 x 840 ) / 2520
= 9 / 840
= 9
So, Greatest Common Divisor of 144, 747, 840 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 144, 747, 840
Given numbers are 144, 747, 840
The greatest common divisor of numbers 144, 747, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 747, 840 is 3.
FAQs on GCD of 144, 747, 840 Calculator
1. What is the GCD of 144, 747, 840?
GCD of given numbers 144, 747, 840 is 3
2. How to calculate the greatest common divisor of 144, 747, 840?
We can find the highest common divisor of 144, 747, 840 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 144, 747, 840 i.e 3.
3. How can I use the GCD of 144, 747, 840Calculator?
Out the numbers 144, 747, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.