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GCD of 752, 992, 228, 369 Calculator

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


Online GCD Calculator is useful to find the GCD of 752, 992, 228, 369 quickly. Get the easiest ways to solve the greatest common divisor of 752, 992, 228, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 752, 992, 228, 369 with Factoring?

Given Input numbers are 752, 992, 228, 369

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 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (752, 992, 228, 369) = 1.

Find GCD of 752, 992, 228, 369 using Prime Factorization

Given numbers are 752, 992, 228, 369

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 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 369 are 3 x 3 x 41

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 752, 992, 228, 369 using LCM Formula

Given numbers are 752, 992, 228, 369

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

Apply this formula for all numbers.

Step1:

LCM(752, 992) = 46624

GCD(752, 992) = ( 752 x 992 ) / 46624

= 752 / 992

= 752


Step2:

LCM(16, 228) = 912

GCD(16, 228) = ( 16 x 228 ) / 912

= 16 / 228

= 16


Step3:

LCM(4, 369) = 1476

GCD(4, 369) = ( 4 x 369 ) / 1476

= 4 / 369

= 4


So, Greatest Common Divisor of 752, 992, 228, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 752, 992, 228, 369

Given numbers are 752, 992, 228, 369
The greatest common divisor of numbers 752, 992, 228, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 992, 228, 369 is 1.

FAQs on GCD of 752, 992, 228, 369 Calculator

1. What is the GCD of 752, 992, 228, 369?

GCD of given numbers 752, 992, 228, 369 is 1


2. How to calculate the greatest common divisor of 752, 992, 228, 369?

We can find the highest common divisor of 752, 992, 228, 369 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, 992, 228, 369 i.e 1.


3. How can I use the GCD of 752, 992, 228, 369Calculator?

Out the numbers 752, 992, 228, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.