GCD of 732, 624, 746 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 732, 624, 746 quickly. Get the easiest ways to solve the greatest common divisor of 732, 624, 746 i.e 2 in different methods as follows.
Given Input numbers are 732, 624, 746
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (732, 624, 746) = 2.
Given numbers are 732, 624, 746
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 732, 624, 746 is 2.
Steps to Calculate GCD of 732, 624, 746 using LCM Formula
Given numbers are 732, 624, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 624) = 38064
GCD(732, 624) = ( 732 x 624 ) / 38064
= 732 / 624
= 732
Step2:
LCM(12, 746) = 4476
GCD(12, 746) = ( 12 x 746 ) / 4476
= 12 / 746
= 12
So, Greatest Common Divisor of 732, 624, 746 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 732, 624, 746
Given numbers are 732, 624, 746
The greatest common divisor of numbers 732, 624, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 624, 746 is 2.
FAQs on GCD of 732, 624, 746 Calculator
1. What is the GCD of 732, 624, 746?
GCD of given numbers 732, 624, 746 is 2
2. How to calculate the greatest common divisor of 732, 624, 746?
We can find the highest common divisor of 732, 624, 746 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 732, 624, 746 i.e 2.
3. How can I use the GCD of 732, 624, 746Calculator?
Out the numbers 732, 624, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.