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GCD of 490, 311, 894, 146 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, 311, 894, 146 quickly. Get the easiest ways to solve the greatest common divisor of 490, 311, 894, 146 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 490, 311, 894, 146 with Factoring?

Given Input numbers are 490, 311, 894, 146

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 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146


GCD of numbers is the greatest common divisor

So, the GCD (490, 311, 894, 146) = 1.

Find GCD of 490, 311, 894, 146 using Prime Factorization

Given numbers are 490, 311, 894, 146

The list of prime factors of all numbers are

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

Prime factors of 311 are 311

Prime factors of 894 are 2 x 3 x 149

Prime factors of 146 are 2 x 73

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

Steps to Calculate GCD of 490, 311, 894, 146 using LCM Formula

Given numbers are 490, 311, 894, 146

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

Apply this formula for all numbers.

Step1:

LCM(490, 311) = 152390

GCD(490, 311) = ( 490 x 311 ) / 152390

= 490 / 311

= 490


Step2:

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

= 1 / 894

= 1


Step3:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1


So, Greatest Common Divisor of 490, 311, 894, 146 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 490, 311, 894, 146

Given numbers are 490, 311, 894, 146
The greatest common divisor of numbers 490, 311, 894, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 311, 894, 146 is 1.

FAQs on GCD of 490, 311, 894, 146 Calculator

1. What is the GCD of 490, 311, 894, 146?

GCD of given numbers 490, 311, 894, 146 is 1


2. How to calculate the greatest common divisor of 490, 311, 894, 146?

We can find the highest common divisor of 490, 311, 894, 146 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, 311, 894, 146 i.e 1.


3. How can I use the GCD of 490, 311, 894, 146Calculator?

Out the numbers 490, 311, 894, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.