GCD of 734, 420, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 734, 420, 72 quickly. Get the easiest ways to solve the greatest common divisor of 734, 420, 72 i.e 2 in different methods as follows.
Given Input numbers are 734, 420, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
GCD of numbers is the greatest common divisor
So, the GCD (734, 420, 72) = 2.
Given numbers are 734, 420, 72
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 734, 420, 72 is 2.
Steps to Calculate GCD of 734, 420, 72 using LCM Formula
Given numbers are 734, 420, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 420) = 154140
GCD(734, 420) = ( 734 x 420 ) / 154140
= 734 / 420
= 734
Step2:
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
= 2 / 72
= 2
So, Greatest Common Divisor of 734, 420, 72 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 734, 420, 72
Given numbers are 734, 420, 72
The greatest common divisor of numbers 734, 420, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 420, 72 is 2.
FAQs on GCD of 734, 420, 72 Calculator
1. What is the GCD of 734, 420, 72?
GCD of given numbers 734, 420, 72 is 2
2. How to calculate the greatest common divisor of 734, 420, 72?
We can find the highest common divisor of 734, 420, 72 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 734, 420, 72 i.e 2.
3. How can I use the GCD of 734, 420, 72Calculator?
Out the numbers 734, 420, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.