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GCD of 462, 989, 269, 213 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, 989, 269, 213 quickly. Get the easiest ways to solve the greatest common divisor of 462, 989, 269, 213 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 462, 989, 269, 213 with Factoring?

Given Input numbers are 462, 989, 269, 213

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 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213


GCD of numbers is the greatest common divisor

So, the GCD (462, 989, 269, 213) = 1.

Find GCD of 462, 989, 269, 213 using Prime Factorization

Given numbers are 462, 989, 269, 213

The list of prime factors of all numbers are

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

Prime factors of 989 are 23 x 43

Prime factors of 269 are 269

Prime factors of 213 are 3 x 71

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

Steps to Calculate GCD of 462, 989, 269, 213 using LCM Formula

Given numbers are 462, 989, 269, 213

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

Apply this formula for all numbers.

Step1:

LCM(462, 989) = 456918

GCD(462, 989) = ( 462 x 989 ) / 456918

= 462 / 989

= 462


Step2:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1


Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1


So, Greatest Common Divisor of 462, 989, 269, 213 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 462, 989, 269, 213

Given numbers are 462, 989, 269, 213
The greatest common divisor of numbers 462, 989, 269, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 989, 269, 213 is 1.

FAQs on GCD of 462, 989, 269, 213 Calculator

1. What is the GCD of 462, 989, 269, 213?

GCD of given numbers 462, 989, 269, 213 is 1


2. How to calculate the greatest common divisor of 462, 989, 269, 213?

We can find the highest common divisor of 462, 989, 269, 213 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, 989, 269, 213 i.e 1.


3. How can I use the GCD of 462, 989, 269, 213Calculator?

Out the numbers 462, 989, 269, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.