GCD of 752, 624, 784 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 752, 624, 784 quickly. Get the easiest ways to solve the greatest common divisor of 752, 624, 784 i.e 16 in different methods as follows.
Given Input numbers are 752, 624, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
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 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (752, 624, 784) = 16.
Given numbers are 752, 624, 784
The list of prime factors of all numbers are
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The highest common occurrence is 24
Therefore, GCD of 752, 624, 784 is 16.
Steps to Calculate GCD of 752, 624, 784 using LCM Formula
Given numbers are 752, 624, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 624) = 29328
GCD(752, 624) = ( 752 x 624 ) / 29328
= 752 / 624
= 752
Step2:
LCM(16, 784) = 784
GCD(16, 784) = ( 16 x 784 ) / 784
= 16 / 784
= 16
So, Greatest Common Divisor of 752, 624, 784 is 16
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 752, 624, 784
Given numbers are 752, 624, 784
The greatest common divisor of numbers 752, 624, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 624, 784 is 16.
FAQs on GCD of 752, 624, 784 Calculator
1. What is the GCD of 752, 624, 784?
GCD of given numbers 752, 624, 784 is 16
2. How to calculate the greatest common divisor of 752, 624, 784?
We can find the highest common divisor of 752, 624, 784 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 752, 624, 784 i.e 16.
3. How can I use the GCD of 752, 624, 784Calculator?
Out the numbers 752, 624, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.