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GCD of 490, 908, 542, 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 490, 908, 542, 675 quickly. Get the easiest ways to solve the greatest common divisor of 490, 908, 542, 675 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 490, 908, 542, 675 with Factoring?

Given Input numbers are 490, 908, 542, 675

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

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 (490, 908, 542, 675) = 1.

Find GCD of 490, 908, 542, 675 using Prime Factorization

Given numbers are 490, 908, 542, 675

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 908 are 2 x 2 x 227

Prime factors of 542 are 2 x 271

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 490, 908, 542, 675 using LCM Formula

Given numbers are 490, 908, 542, 675

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

Apply this formula for all numbers.

Step1:

LCM(490, 908) = 222460

GCD(490, 908) = ( 490 x 908 ) / 222460

= 490 / 908

= 490


Step2:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2


Step3:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2


So, Greatest Common Divisor of 490, 908, 542, 675 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 490, 908, 542, 675

Given numbers are 490, 908, 542, 675
The greatest common divisor of numbers 490, 908, 542, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 908, 542, 675 is 1.

FAQs on GCD of 490, 908, 542, 675 Calculator

1. What is the GCD of 490, 908, 542, 675?

GCD of given numbers 490, 908, 542, 675 is 1


2. How to calculate the greatest common divisor of 490, 908, 542, 675?

We can find the highest common divisor of 490, 908, 542, 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 490, 908, 542, 675 i.e 1.


3. How can I use the GCD of 490, 908, 542, 675Calculator?

Out the numbers 490, 908, 542, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.