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GCD of 610, 489, 147, 343 Calculator

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


Online GCD Calculator is useful to find the GCD of 610, 489, 147, 343 quickly. Get the easiest ways to solve the greatest common divisor of 610, 489, 147, 343 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 610, 489, 147, 343 with Factoring?

Given Input numbers are 610, 489, 147, 343

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

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343


GCD of numbers is the greatest common divisor

So, the GCD (610, 489, 147, 343) = 1.

Find GCD of 610, 489, 147, 343 using Prime Factorization

Given numbers are 610, 489, 147, 343

The list of prime factors of all numbers are

Prime factors of 610 are 2 x 5 x 61

Prime factors of 489 are 3 x 163

Prime factors of 147 are 3 x 7 x 7

Prime factors of 343 are 7 x 7 x 7

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

Steps to Calculate GCD of 610, 489, 147, 343 using LCM Formula

Given numbers are 610, 489, 147, 343

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

Apply this formula for all numbers.

Step1:

LCM(610, 489) = 298290

GCD(610, 489) = ( 610 x 489 ) / 298290

= 610 / 489

= 610


Step2:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1


Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1


So, Greatest Common Divisor of 610, 489, 147, 343 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 610, 489, 147, 343

Given numbers are 610, 489, 147, 343
The greatest common divisor of numbers 610, 489, 147, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 610, 489, 147, 343 is 1.

FAQs on GCD of 610, 489, 147, 343 Calculator

1. What is the GCD of 610, 489, 147, 343?

GCD of given numbers 610, 489, 147, 343 is 1


2. How to calculate the greatest common divisor of 610, 489, 147, 343?

We can find the highest common divisor of 610, 489, 147, 343 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 610, 489, 147, 343 i.e 1.


3. How can I use the GCD of 610, 489, 147, 343Calculator?

Out the numbers 610, 489, 147, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.