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GCD of 496, 736, 753, 372 Calculator

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


Online GCD Calculator is useful to find the GCD of 496, 736, 753, 372 quickly. Get the easiest ways to solve the greatest common divisor of 496, 736, 753, 372 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 496, 736, 753, 372 with Factoring?

Given Input numbers are 496, 736, 753, 372

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

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

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 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372


GCD of numbers is the greatest common divisor

So, the GCD (496, 736, 753, 372) = 1.

Find GCD of 496, 736, 753, 372 using Prime Factorization

Given numbers are 496, 736, 753, 372

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Prime factors of 753 are 3 x 251

Prime factors of 372 are 2 x 2 x 3 x 31

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

Steps to Calculate GCD of 496, 736, 753, 372 using LCM Formula

Given numbers are 496, 736, 753, 372

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

Apply this formula for all numbers.

Step1:

LCM(496, 736) = 22816

GCD(496, 736) = ( 496 x 736 ) / 22816

= 496 / 736

= 496


Step2:

LCM(16, 753) = 12048

GCD(16, 753) = ( 16 x 753 ) / 12048

= 16 / 753

= 16


Step3:

LCM(1, 372) = 372

GCD(1, 372) = ( 1 x 372 ) / 372

= 1 / 372

= 1


So, Greatest Common Divisor of 496, 736, 753, 372 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 496, 736, 753, 372

Given numbers are 496, 736, 753, 372
The greatest common divisor of numbers 496, 736, 753, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 736, 753, 372 is 1.

FAQs on GCD of 496, 736, 753, 372 Calculator

1. What is the GCD of 496, 736, 753, 372?

GCD of given numbers 496, 736, 753, 372 is 1


2. How to calculate the greatest common divisor of 496, 736, 753, 372?

We can find the highest common divisor of 496, 736, 753, 372 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 496, 736, 753, 372 i.e 1.


3. How can I use the GCD of 496, 736, 753, 372Calculator?

Out the numbers 496, 736, 753, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.