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GCD of 462, 498, 149, 710 Calculator

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


Online GCD Calculator is useful to find the GCD of 462, 498, 149, 710 quickly. Get the easiest ways to solve the greatest common divisor of 462, 498, 149, 710 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 498, 149, 710 with Factoring?

Given Input numbers are 462, 498, 149, 710

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 498 :

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

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

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710


GCD of numbers is the greatest common divisor

So, the GCD (462, 498, 149, 710) = 1.

Find GCD of 462, 498, 149, 710 using Prime Factorization

Given numbers are 462, 498, 149, 710

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 498 are 2 x 3 x 83

Prime factors of 149 are 149

Prime factors of 710 are 2 x 5 x 71

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

Steps to Calculate GCD of 462, 498, 149, 710 using LCM Formula

Given numbers are 462, 498, 149, 710

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

Apply this formula for all numbers.

Step1:

LCM(462, 498) = 38346

GCD(462, 498) = ( 462 x 498 ) / 38346

= 462 / 498

= 462


Step2:

LCM(6, 149) = 894

GCD(6, 149) = ( 6 x 149 ) / 894

= 6 / 149

= 6


Step3:

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

= 1 / 710

= 1


So, Greatest Common Divisor of 462, 498, 149, 710 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 498, 149, 710

Given numbers are 462, 498, 149, 710
The greatest common divisor of numbers 462, 498, 149, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 498, 149, 710 is 1.

FAQs on GCD of 462, 498, 149, 710 Calculator

1. What is the GCD of 462, 498, 149, 710?

GCD of given numbers 462, 498, 149, 710 is 1


2. How to calculate the greatest common divisor of 462, 498, 149, 710?

We can find the highest common divisor of 462, 498, 149, 710 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 462, 498, 149, 710 i.e 1.


3. How can I use the GCD of 462, 498, 149, 710Calculator?

Out the numbers 462, 498, 149, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.