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GCD of 734, 648, 248, 736 Calculator

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


Online GCD Calculator is useful to find the GCD of 734, 648, 248, 736 quickly. Get the easiest ways to solve the greatest common divisor of 734, 648, 248, 736 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 648, 248, 736 with Factoring?

Given Input numbers are 734, 648, 248, 736

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

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

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


GCD of numbers is the greatest common divisor

So, the GCD (734, 648, 248, 736) = 2.

Find GCD of 734, 648, 248, 736 using Prime Factorization

Given numbers are 734, 648, 248, 736

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 248 are 2 x 2 x 2 x 31

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

The highest common occurrence is 21

Therefore, GCD of 734, 648, 248, 736 is 2.

Steps to Calculate GCD of 734, 648, 248, 736 using LCM Formula

Given numbers are 734, 648, 248, 736

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

Apply this formula for all numbers.

Step1:

LCM(734, 648) = 237816

GCD(734, 648) = ( 734 x 648 ) / 237816

= 734 / 648

= 734


Step2:

LCM(2, 248) = 248

GCD(2, 248) = ( 2 x 248 ) / 248

= 2 / 248

= 2


Step3:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2


So, Greatest Common Divisor of 734, 648, 248, 736 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 648, 248, 736

Given numbers are 734, 648, 248, 736
The greatest common divisor of numbers 734, 648, 248, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 648, 248, 736 is 2.

FAQs on GCD of 734, 648, 248, 736 Calculator

1. What is the GCD of 734, 648, 248, 736?

GCD of given numbers 734, 648, 248, 736 is 2


2. How to calculate the greatest common divisor of 734, 648, 248, 736?

We can find the highest common divisor of 734, 648, 248, 736 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 734, 648, 248, 736 i.e 2.


3. How can I use the GCD of 734, 648, 248, 736Calculator?

Out the numbers 734, 648, 248, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.