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GCD of 145, 649, 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 145, 649, 213 quickly. Get the easiest ways to solve the greatest common divisor of 145, 649, 213 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 145, 649, 213 with Factoring?

Given Input numbers are 145, 649, 213

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

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

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 (145, 649, 213) = 1.

Find GCD of 145, 649, 213 using Prime Factorization

Given numbers are 145, 649, 213

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 649 are 11 x 59

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 145, 649, 213 using LCM Formula

Given numbers are 145, 649, 213

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

Apply this formula for all numbers.

Step1:

LCM(145, 649) = 94105

GCD(145, 649) = ( 145 x 649 ) / 94105

= 145 / 649

= 145


Step2:

LCM(1, 213) = 213

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

= 1 / 213

= 1


So, Greatest Common Divisor of 145, 649, 213 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 145, 649, 213

Given numbers are 145, 649, 213
The greatest common divisor of numbers 145, 649, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 649, 213 is 1.

FAQs on GCD of 145, 649, 213 Calculator

1. What is the GCD of 145, 649, 213?

GCD of given numbers 145, 649, 213 is 1


2. How to calculate the greatest common divisor of 145, 649, 213?

We can find the highest common divisor of 145, 649, 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 145, 649, 213 i.e 1.


3. How can I use the GCD of 145, 649, 213Calculator?

Out the numbers 145, 649, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.