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GCD of 736, 912, 752, 180 Calculator

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


Online GCD Calculator is useful to find the GCD of 736, 912, 752, 180 quickly. Get the easiest ways to solve the greatest common divisor of 736, 912, 752, 180 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 736, 912, 752, 180 with Factoring?

Given Input numbers are 736, 912, 752, 180

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180


GCD of numbers is the greatest common divisor

So, the GCD (736, 912, 752, 180) = 4.

Find GCD of 736, 912, 752, 180 using Prime Factorization

Given numbers are 736, 912, 752, 180

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 22

Therefore, GCD of 736, 912, 752, 180 is 4.

Steps to Calculate GCD of 736, 912, 752, 180 using LCM Formula

Given numbers are 736, 912, 752, 180

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

Apply this formula for all numbers.

Step1:

LCM(736, 912) = 41952

GCD(736, 912) = ( 736 x 912 ) / 41952

= 736 / 912

= 736


Step2:

LCM(16, 752) = 752

GCD(16, 752) = ( 16 x 752 ) / 752

= 16 / 752

= 16


Step3:

LCM(16, 180) = 720

GCD(16, 180) = ( 16 x 180 ) / 720

= 16 / 180

= 16


So, Greatest Common Divisor of 736, 912, 752, 180 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 736, 912, 752, 180

Given numbers are 736, 912, 752, 180
The greatest common divisor of numbers 736, 912, 752, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 912, 752, 180 is 4.

FAQs on GCD of 736, 912, 752, 180 Calculator

1. What is the GCD of 736, 912, 752, 180?

GCD of given numbers 736, 912, 752, 180 is 4


2. How to calculate the greatest common divisor of 736, 912, 752, 180?

We can find the highest common divisor of 736, 912, 752, 180 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 736, 912, 752, 180 i.e 4.


3. How can I use the GCD of 736, 912, 752, 180Calculator?

Out the numbers 736, 912, 752, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.