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GCD of 734, 764, 327, 280 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, 764, 327, 280 quickly. Get the easiest ways to solve the greatest common divisor of 734, 764, 327, 280 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 734, 764, 327, 280 with Factoring?

Given Input numbers are 734, 764, 327, 280

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 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280


GCD of numbers is the greatest common divisor

So, the GCD (734, 764, 327, 280) = 1.

Find GCD of 734, 764, 327, 280 using Prime Factorization

Given numbers are 734, 764, 327, 280

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 764 are 2 x 2 x 191

Prime factors of 327 are 3 x 109

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Steps to Calculate GCD of 734, 764, 327, 280 using LCM Formula

Given numbers are 734, 764, 327, 280

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

Apply this formula for all numbers.

Step1:

LCM(734, 764) = 280388

GCD(734, 764) = ( 734 x 764 ) / 280388

= 734 / 764

= 734


Step2:

LCM(2, 327) = 654

GCD(2, 327) = ( 2 x 327 ) / 654

= 2 / 327

= 2


Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1


So, Greatest Common Divisor of 734, 764, 327, 280 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 734, 764, 327, 280

Given numbers are 734, 764, 327, 280
The greatest common divisor of numbers 734, 764, 327, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 764, 327, 280 is 1.

FAQs on GCD of 734, 764, 327, 280 Calculator

1. What is the GCD of 734, 764, 327, 280?

GCD of given numbers 734, 764, 327, 280 is 1


2. How to calculate the greatest common divisor of 734, 764, 327, 280?

We can find the highest common divisor of 734, 764, 327, 280 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, 764, 327, 280 i.e 1.


3. How can I use the GCD of 734, 764, 327, 280Calculator?

Out the numbers 734, 764, 327, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.