GCD of 688, 652, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 688, 652, 72 quickly. Get the easiest ways to solve the greatest common divisor of 688, 652, 72 i.e 4 in different methods as follows.
Given Input numbers are 688, 652, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
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 (688, 652, 72) = 4.
Given numbers are 688, 652, 72
The list of prime factors of all numbers are
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 652 are 2 x 2 x 163
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 688, 652, 72 is 4.
Steps to Calculate GCD of 688, 652, 72 using LCM Formula
Given numbers are 688, 652, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(688, 652) = 112144
GCD(688, 652) = ( 688 x 652 ) / 112144
= 688 / 652
= 688
Step2:
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
= 4 / 72
= 4
So, Greatest Common Divisor of 688, 652, 72 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 688, 652, 72
Given numbers are 688, 652, 72
The greatest common divisor of numbers 688, 652, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 652, 72 is 4.
FAQs on GCD of 688, 652, 72 Calculator
1. What is the GCD of 688, 652, 72?
GCD of given numbers 688, 652, 72 is 4
2. How to calculate the greatest common divisor of 688, 652, 72?
We can find the highest common divisor of 688, 652, 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 688, 652, 72 i.e 4.
3. How can I use the GCD of 688, 652, 72Calculator?
Out the numbers 688, 652, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.