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GCD of 720, 996, 160, 716 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 720, 996, 160, 716 quickly. Get the easiest ways to solve the greatest common divisor of 720, 996, 160, 716 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 996, 160, 716 with Factoring?

Given Input numbers are 720, 996, 160, 716

In the factoring method, we have to find the divisors of all numbers

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716


GCD of numbers is the greatest common divisor

So, the GCD (720, 996, 160, 716) = 4.

Find GCD of 720, 996, 160, 716 using Prime Factorization

Given numbers are 720, 996, 160, 716

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 22

Therefore, GCD of 720, 996, 160, 716 is 4.

Steps to Calculate GCD of 720, 996, 160, 716 using LCM Formula

Given numbers are 720, 996, 160, 716

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(720, 996) = 59760

GCD(720, 996) = ( 720 x 996 ) / 59760

= 720 / 996

= 720


Step2:

LCM(12, 160) = 480

GCD(12, 160) = ( 12 x 160 ) / 480

= 12 / 160

= 12


Step3:

LCM(4, 716) = 716

GCD(4, 716) = ( 4 x 716 ) / 716

= 4 / 716

= 4


So, Greatest Common Divisor of 720, 996, 160, 716 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 996, 160, 716

Given numbers are 720, 996, 160, 716
The greatest common divisor of numbers 720, 996, 160, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 996, 160, 716 is 4.

FAQs on GCD of 720, 996, 160, 716 Calculator

1. What is the GCD of 720, 996, 160, 716?

GCD of given numbers 720, 996, 160, 716 is 4


2. How to calculate the greatest common divisor of 720, 996, 160, 716?

We can find the highest common divisor of 720, 996, 160, 716 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 720, 996, 160, 716 i.e 4.


3. How can I use the GCD of 720, 996, 160, 716Calculator?

Out the numbers 720, 996, 160, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.