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GCD of 740, 481, 460, 675 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, 481, 460, 675 quickly. Get the easiest ways to solve the greatest common divisor of 740, 481, 460, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 740, 481, 460, 675 with Factoring?

Given Input numbers are 740, 481, 460, 675

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 481 :

The positive integer divisors of 481 that completely divides 481 are.

1, 13, 37, 481

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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


GCD of numbers is the greatest common divisor

So, the GCD (740, 481, 460, 675) = 1.

Find GCD of 740, 481, 460, 675 using Prime Factorization

Given numbers are 740, 481, 460, 675

The list of prime factors of all numbers are

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

Prime factors of 481 are 13 x 37

Prime factors of 460 are 2 x 2 x 5 x 23

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

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

Steps to Calculate GCD of 740, 481, 460, 675 using LCM Formula

Given numbers are 740, 481, 460, 675

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

Apply this formula for all numbers.

Step1:

LCM(740, 481) = 9620

GCD(740, 481) = ( 740 x 481 ) / 9620

= 740 / 481

= 740


Step2:

LCM(37, 460) = 17020

GCD(37, 460) = ( 37 x 460 ) / 17020

= 37 / 460

= 37


Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1


So, Greatest Common Divisor of 740, 481, 460, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 740, 481, 460, 675

Given numbers are 740, 481, 460, 675
The greatest common divisor of numbers 740, 481, 460, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 481, 460, 675 is 1.

FAQs on GCD of 740, 481, 460, 675 Calculator

1. What is the GCD of 740, 481, 460, 675?

GCD of given numbers 740, 481, 460, 675 is 1


2. How to calculate the greatest common divisor of 740, 481, 460, 675?

We can find the highest common divisor of 740, 481, 460, 675 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, 481, 460, 675 i.e 1.


3. How can I use the GCD of 740, 481, 460, 675Calculator?

Out the numbers 740, 481, 460, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.