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GCD of 796, 720, 198, 737 Calculator

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


Online GCD Calculator is useful to find the GCD of 796, 720, 198, 737 quickly. Get the easiest ways to solve the greatest common divisor of 796, 720, 198, 737 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 796, 720, 198, 737 with Factoring?

Given Input numbers are 796, 720, 198, 737

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737


GCD of numbers is the greatest common divisor

So, the GCD (796, 720, 198, 737) = 1.

Find GCD of 796, 720, 198, 737 using Prime Factorization

Given numbers are 796, 720, 198, 737

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 737 are 11 x 67

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

Steps to Calculate GCD of 796, 720, 198, 737 using LCM Formula

Given numbers are 796, 720, 198, 737

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

Apply this formula for all numbers.

Step1:

LCM(796, 720) = 143280

GCD(796, 720) = ( 796 x 720 ) / 143280

= 796 / 720

= 796


Step2:

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4


Step3:

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

= 2 / 737

= 2


So, Greatest Common Divisor of 796, 720, 198, 737 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 796, 720, 198, 737

Given numbers are 796, 720, 198, 737
The greatest common divisor of numbers 796, 720, 198, 737 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 720, 198, 737 is 1.

FAQs on GCD of 796, 720, 198, 737 Calculator

1. What is the GCD of 796, 720, 198, 737?

GCD of given numbers 796, 720, 198, 737 is 1


2. How to calculate the greatest common divisor of 796, 720, 198, 737?

We can find the highest common divisor of 796, 720, 198, 737 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 796, 720, 198, 737 i.e 1.


3. How can I use the GCD of 796, 720, 198, 737Calculator?

Out the numbers 796, 720, 198, 737 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.