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GCD of 736, 254, 770, 792 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, 254, 770, 792 quickly. Get the easiest ways to solve the greatest common divisor of 736, 254, 770, 792 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 736, 254, 770, 792 with Factoring?

Given Input numbers are 736, 254, 770, 792

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 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792


GCD of numbers is the greatest common divisor

So, the GCD (736, 254, 770, 792) = 2.

Find GCD of 736, 254, 770, 792 using Prime Factorization

Given numbers are 736, 254, 770, 792

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 254 are 2 x 127

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 736, 254, 770, 792 is 2.

Steps to Calculate GCD of 736, 254, 770, 792 using LCM Formula

Given numbers are 736, 254, 770, 792

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

Apply this formula for all numbers.

Step1:

LCM(736, 254) = 93472

GCD(736, 254) = ( 736 x 254 ) / 93472

= 736 / 254

= 736


Step2:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2


Step3:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2


So, Greatest Common Divisor of 736, 254, 770, 792 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 736, 254, 770, 792

Given numbers are 736, 254, 770, 792
The greatest common divisor of numbers 736, 254, 770, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 254, 770, 792 is 2.

FAQs on GCD of 736, 254, 770, 792 Calculator

1. What is the GCD of 736, 254, 770, 792?

GCD of given numbers 736, 254, 770, 792 is 2


2. How to calculate the greatest common divisor of 736, 254, 770, 792?

We can find the highest common divisor of 736, 254, 770, 792 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, 254, 770, 792 i.e 2.


3. How can I use the GCD of 736, 254, 770, 792Calculator?

Out the numbers 736, 254, 770, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.