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GCD of 730, 642, 267, 649 Calculator

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


Online GCD Calculator is useful to find the GCD of 730, 642, 267, 649 quickly. Get the easiest ways to solve the greatest common divisor of 730, 642, 267, 649 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 730, 642, 267, 649 with Factoring?

Given Input numbers are 730, 642, 267, 649

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649


GCD of numbers is the greatest common divisor

So, the GCD (730, 642, 267, 649) = 1.

Find GCD of 730, 642, 267, 649 using Prime Factorization

Given numbers are 730, 642, 267, 649

The list of prime factors of all numbers are

Prime factors of 730 are 2 x 5 x 73

Prime factors of 642 are 2 x 3 x 107

Prime factors of 267 are 3 x 89

Prime factors of 649 are 11 x 59

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

Steps to Calculate GCD of 730, 642, 267, 649 using LCM Formula

Given numbers are 730, 642, 267, 649

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

Apply this formula for all numbers.

Step1:

LCM(730, 642) = 234330

GCD(730, 642) = ( 730 x 642 ) / 234330

= 730 / 642

= 730


Step2:

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

= 2 / 267

= 2


Step3:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1


So, Greatest Common Divisor of 730, 642, 267, 649 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 730, 642, 267, 649

Given numbers are 730, 642, 267, 649
The greatest common divisor of numbers 730, 642, 267, 649 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 642, 267, 649 is 1.

FAQs on GCD of 730, 642, 267, 649 Calculator

1. What is the GCD of 730, 642, 267, 649?

GCD of given numbers 730, 642, 267, 649 is 1


2. How to calculate the greatest common divisor of 730, 642, 267, 649?

We can find the highest common divisor of 730, 642, 267, 649 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 730, 642, 267, 649 i.e 1.


3. How can I use the GCD of 730, 642, 267, 649Calculator?

Out the numbers 730, 642, 267, 649 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.