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GCD of 740, 730, 675, 498 Calculator

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


Online GCD Calculator is useful to find the GCD of 740, 730, 675, 498 quickly. Get the easiest ways to solve the greatest common divisor of 740, 730, 675, 498 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 740, 730, 675, 498 with Factoring?

Given Input numbers are 740, 730, 675, 498

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 730 :

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

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

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498


GCD of numbers is the greatest common divisor

So, the GCD (740, 730, 675, 498) = 1.

Find GCD of 740, 730, 675, 498 using Prime Factorization

Given numbers are 740, 730, 675, 498

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 730 are 2 x 5 x 73

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 498 are 2 x 3 x 83

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

Steps to Calculate GCD of 740, 730, 675, 498 using LCM Formula

Given numbers are 740, 730, 675, 498

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

Apply this formula for all numbers.

Step1:

LCM(740, 730) = 54020

GCD(740, 730) = ( 740 x 730 ) / 54020

= 740 / 730

= 740


Step2:

LCM(10, 675) = 1350

GCD(10, 675) = ( 10 x 675 ) / 1350

= 10 / 675

= 10


Step3:

LCM(5, 498) = 2490

GCD(5, 498) = ( 5 x 498 ) / 2490

= 5 / 498

= 5


So, Greatest Common Divisor of 740, 730, 675, 498 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 740, 730, 675, 498

Given numbers are 740, 730, 675, 498
The greatest common divisor of numbers 740, 730, 675, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 730, 675, 498 is 1.

FAQs on GCD of 740, 730, 675, 498 Calculator

1. What is the GCD of 740, 730, 675, 498?

GCD of given numbers 740, 730, 675, 498 is 1


2. How to calculate the greatest common divisor of 740, 730, 675, 498?

We can find the highest common divisor of 740, 730, 675, 498 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 740, 730, 675, 498 i.e 1.


3. How can I use the GCD of 740, 730, 675, 498Calculator?

Out the numbers 740, 730, 675, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.