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GCD of 738, 492, 374, 776 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 492, 374, 776 quickly. Get the easiest ways to solve the greatest common divisor of 738, 492, 374, 776 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 492, 374, 776 with Factoring?

Given Input numbers are 738, 492, 374, 776

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776


GCD of numbers is the greatest common divisor

So, the GCD (738, 492, 374, 776) = 2.

Find GCD of 738, 492, 374, 776 using Prime Factorization

Given numbers are 738, 492, 374, 776

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 374 are 2 x 11 x 17

Prime factors of 776 are 2 x 2 x 2 x 97

The highest common occurrence is 21

Therefore, GCD of 738, 492, 374, 776 is 2.

Steps to Calculate GCD of 738, 492, 374, 776 using LCM Formula

Given numbers are 738, 492, 374, 776

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

Apply this formula for all numbers.

Step1:

LCM(738, 492) = 1476

GCD(738, 492) = ( 738 x 492 ) / 1476

= 738 / 492

= 738


Step2:

LCM(246, 374) = 46002

GCD(246, 374) = ( 246 x 374 ) / 46002

= 246 / 374

= 246


Step3:

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

= 2 / 776

= 2


So, Greatest Common Divisor of 738, 492, 374, 776 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 492, 374, 776

Given numbers are 738, 492, 374, 776
The greatest common divisor of numbers 738, 492, 374, 776 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 492, 374, 776 is 2.

FAQs on GCD of 738, 492, 374, 776 Calculator

1. What is the GCD of 738, 492, 374, 776?

GCD of given numbers 738, 492, 374, 776 is 2


2. How to calculate the greatest common divisor of 738, 492, 374, 776?

We can find the highest common divisor of 738, 492, 374, 776 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 738, 492, 374, 776 i.e 2.


3. How can I use the GCD of 738, 492, 374, 776Calculator?

Out the numbers 738, 492, 374, 776 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.